Banach

banach@mathdept.okstate.edu

2549 discussions

Æsy to define, Hard to analyse : First conference on Lipschitz free spaces (19-22 Sept. 2023)
by antonin prochazka 04 Jul '23

04 Jul '23

Dear Colleague, This is the second and last announcement of the conference on Lipschitz-free spaces (also known as Arens-Eells spaces or Transportation Cost spaces) to be held in Besançon, France from the 19th till the 22nd of September 2023. Up to our knowledge this is the first ever conference dedicated exclusively to this rapidly growing subject at the intersection of functional analysis, metric geometry and optimal transport, with outreach to applied mathematics and computer science. The obvious purpose of this meeting is to bring together researchers with common interest in these fields, and to give an opportunity to deliver a short talk. Graduate students and others beginning their mathematical career are encouraged to participate. The following main speakers have agreed to deliver a plenary lecture: [ https://www.researchgate.net/profile/Ramon-Aliaga | Ramón J. Aliaga ] , Universitat Politècnica de València. [ https://www2.karlin.mff.cuni.cz/~cuth/articles.html | Marek Cúth ] , Charles University in Prague. [ https://users.math.cas.cz/~doucha/ | Michal Doucha ] , Czech Academy of Sciences. [ http://personal.unizar.es/luiscarlos/ | Luis C. García Lirola ] , University of Zaragoza. [ https://people.tamu.edu/~cgartland/ | Chris Gartland ] , Texas A&M University, College Station. [ https://webusers.imj-prg.fr/~gilles.godefroy/ | Gilles Godefroy ] , Institut de Mathématiques de Jussieu. [ https://www.researchgate.net/profile/Eva-Pernecka | Eva Pernecká ] , Czech Technical University in Prague. [ https://arzenglish.wordpress.com/ | Abraham Rueda Zoca ] , Universidad de Granada. [ https://maths.ucd.ie/~rsmith/ | Richard J. Smith ] , University College Dublin. [ https://www.etis.ee/CV/Triinu_Veeorg/eng | Triinu Veeorg ] , University of Tartu. For further information and registration kindly check the conference webpage: [ https://frii.sciencesconf.org/ | https://frii.sciencesconf.org/ ] Feel free to share this announcement in your department and around you. Looking forward to seeing you, Colin Petitjean and Tony Prochazka

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Concentration Week on Ideals and Algebras of Operators and SUMIRFAS
by Pavlos Motakis 12 Jun '23

12 Jun '23

Dear all, This is the final registration call for the “Concentration Week on Ideals and Algebras of Operators<https://sites.google.com/view/ideals-algebras-banach/home-registration?auth…>” between July 24-28 and SUMIRFAS<https://www.math.tamu.edu/conferences/functional_analysis/sumirfas.html> between July 28-30. Both events will take place in person in College Station, Texas, and are part of the “Workshop in Analysis and Probability<https://www.math.tamu.edu/conferences/functional_analysis/PANEM.html>” of Texas A&M University. The registration is available at the following link, and the deadline is June 15: https://docs.google.com/forms/d/e/1FAIpQLSfH17cKAoMG48PFxT8DcB8I2s7BCLhwyWU… If you have been invited as a lecture or mini-course speaker or if you have requested to give a contributed lecture at the "Concentration Week on Ideals and Algebras of Operators<https://sites.google.com/view/ideals-algebras-banach/home-registration?auth…>” please email me the title and abstract by the end of June. The Concentration Week on Ideals and Algebras of Operators is intended to bring together researchers interested in the various aspects of spaces of operators in Banach spaces. Particular emphasis is given to the rich theory induced by quotients over classical ideals as well as by the plenitude of different ideals. The purpose is to showcase and bring together cutting-edge technologies in constructing and studying ideals in the algebras of bounded linear operators on classical and non-classical spaces, draw parallels to the study of C* and operator algebras, and set the tone for future research directions in the field. We also welcome researchers interested in the interactions between other fields (logic, set theory, homological algebra, topology) and various aspects of algebras of operators. There is no registration fee and hotel costs will be directly covered by the conference. Your hotel room will be booked for you, and all rooms will be single occupancy. In the registration form, you will be asked for check-in and check-out dates between July 5 and July 31. Graduate students whose institution or advisor cannot support their travel may apply for travel funding. Some restrictions apply. On behalf of the organizers, -- Pavlos Motakis Assistant Professor Department of Mathematics and Statistics York University Office: S618 Ross Webpage: https://pmotakis.mathstats.yorku.ca/

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Concentration Week on Ideals and Algebras of Operators and SUMIRFAS
by Pavlos Motakis 31 May '23

31 May '23

Dear all, This is a registration call for the “Concentration Week on Ideals and Algebras of Operators<https://sites.google.com/view/ideals-algebras-banach/home-registration?auth…>” between July 24-28 and SUMIRFAS<https://www.math.tamu.edu/conferences/functional_analysis/sumirfas.html> between July 28-30. Both events will take place in person in College Station, Texas, and are part of the “Workshop in Analysis and Probability<https://www.math.tamu.edu/conferences/functional_analysis/PANEM.html>” of Texas A&M University. The registration is available at the following link until June 15: https://docs.google.com/forms/d/e/1FAIpQLSfH17cKAoMG48PFxT8DcB8I2s7BCLhwyWU… The Concentration Week on Ideals and Algebras of Operators is intended to bring together researchers interested in the various aspects of spaces of operators in Banach spaces. Particular emphasis is given to the rich theory induced by quotients over classical ideals as well as by the plenitude of different ideals. The purpose is to showcase and bring together cutting-edge technologies in constructing and studying ideals in the algebras of bounded linear operators on classical and non-classical spaces, draw parallels to the study of C* and operator algebras, and set the tone for future research directions in the field. We also welcome researchers interested in the interactions between other fields (logic, set theory, homological algebra, topology) and various aspects of algebras of operators. There is no registration fee and hotel costs will be directly covered by the conference. Your hotel room will be booked for you, and all rooms will be single occupancy. In the registration form, you will be asked for check-in and check-out dates between July 5 and July 31. Graduate students whose institution or advisor cannot support their travel may apply for travel funding. Some restrictions apply. On behalf of the organizers, -- Pavlos Motakis Assistant Professor Department of Mathematics and Statistics York University Office: S618 Ross Webpage: https://pmotakis.mathstats.yorku.ca/

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postdoc position in Functional Analysis
by Adi Tcaciuc 19 May '23

19 May '23

Hello everyone, Please see the attached ad for a two year postdoctoral position in Functional Analysis at MacEwan University in Edmonton, Alberta. The deadline is May 26, 2023, however applications are accepted until the position is filled. Please forward this to anyone looking for such a position and meets the criteria stated in the ad. Best regards, Adi Tcaciuc

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Banach spaces webinar on Friday 5/12 by Bruce Blackadar
by Sari, Bunyamin 10 May '23

10 May '23

Hi all, Please join us for the following talk on Friday 5/12 at 9am (Central) . Zoom link: https://unt.zoom.us/j/86396583011 Hilbert Spaces Without Countable AC Bruce Blackadar (University of Nevada, Reno) Abstract: This article examines Hilbert spaces constructed from sets whose existence is incompatible with the Countable Axiom of Choice (CC). Our point of view is twofold: (1) We examine what can and cannot be said about Hilbert spaces and operators on them in ZF set theory without any assumptions of Choice axioms, even the CC. (2) We view Hilbert spaces as ``quantized'' sets and obtain some set-theoretic results from associated Hilbert spaces. (Joint with Ilijas Farah and Asaf Karagila) https://researchseminars.org/talk/BanachWebinars/76/

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Announcement of Conferences at Texas A&M
by Bentuo Zheng (bzheng) 03 May '23

03 May '23

Dear Banach spaces community, This is a registration call for the “Concentration Week on Ideals and Algebras of Operators<https://sites.google.com/view/ideals-algebras-banach/home-registration?auth…>” between July 24-28 and SUMIRFAS<https://www.math.tamu.edu/conferences/functional_analysis/sumirfas.html> between July 28-30. Both events will take place in person in College Station, Texas, and are part of the “Workshop in Analysis and Probability<https://www.math.tamu.edu/conferences/functional_analysis/PANEM.html>” of Texas A&M University. The Concentration Week on Ideals and Algebras of Operators is intended to bring together researchers interested in the various aspects of spaces of operators in Banach spaces. Particular emphasis is given to the rich theory induced by quotients over classical ideals as well as by the plenitude of different ideals. The purpose is to showcase and bring together cutting-edge technologies in constructing and studying ideals in the algebras of bounded linear operators on classical and non-classical spaces, draw parallels to the study of C* and operator algebras, and set the tone for future research directions in the field. Hotel costs will be directly covered by the conference. Your hotel room will be booked for you, and all rooms will be single occupancy. In the registration form, you will be asked for check-in and check-out dates between July 5 and July 31. Graduate students whose institution or advisor cannot support their travel may apply for travel funding. Some restrictions apply. The registration is available at the following link until June 15: https://docs.google.com/forms/d/e/1FAIpQLSfH17cKAoMG48PFxT8DcB8I2s7BCLhwyWU… On behalf of the organizers, -- Pavlos Motakis Assistant Professor Department of Mathematics and Statistics York University Office: S618 Ross Webpage: https://pmotakis.mathstats.yorku.ca/

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Banach spaces webinar by Anna Pelczar-Barwacz (Jagiellonian) on Friday May 5th
by Sari, Bunyamin 01 May '23

01 May '23

Hi all, Please join us for the following talk on Friday May 5th at 9am (central). The zoom link: https://unt.zoom.us/j/88959687677 Best, Bunyamin A Banach space with an infinite dimensional reflexive quotient operator algebra L(X)/SS(X) Anna Pelczar-Barwacz (Jagiellonian) Abstract. I will discuss method of constructing a Banach space X such that the algebra of bounded operators L(X) is a direct sum of an infinite dimensional reflexive Banach space V and the operator ideal of strictly singular operators SS(X). The space V is spanned by an unconditional basic sequence (I_s)_{s=0}^\infty where I_0 is the identity on X, whereas each I_s, s=1,2,... is a projection on some subspace X_s of X. The multiplication on V is defined naturally: V is the unitization of the subalgebra of L(X) spanned by (I_s)_{s=1}^\infty with the pointwise multiplication. https://researchseminars.org/talk/BanachWebinars/77/

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Banach spaces webinar Fri Apr 21 by Christian Rosendal (Maryland)
by Sari, Bunyamin 17 Apr '23

17 Apr '23

Hi all, We have a webinar talk this Friday, April 21st at 9am (CDT). Zoom link: https://unt.zoom.us/j/85788417413 Looking forward to seeing you. Best regards, Bunyamin Title: On the relation of coarse embeddability between Banach spaces Speaker: Christian Rosendal (The University of Maryland) Abstract: Under the weak assumption on a Banach space $E$ that $E\oplus E$ embeds isomorphically into $E$, we provide a characterisation of when a Banach space $X$ coarsely embeds into $E$ via a single numerical invariant.

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Banach spaces webinar on Friday 3/24 by Kamil Krzysztof Ryduchowski (Warsaw)
by Sari, Bunyamin 21 Mar '23

21 Mar '23

Hi all, Please join us for the following talk on Friday, March 24 at 9am (Central Daylight Time). Please use the following link to attend Join Zoom Meeting https://unt.zoom.us/j/84342187681 Best regards, Bunyamin https://researchseminars.org/seminar/BanachWebinars researchseminars.org - View series <https://researchseminars.org/seminar/BanachWebinars> Welcome to researchseminars.org, a list of research seminars and conferences! researchseminars.org Speaker: Kamil Krzysztof Ryduchowski (Warsaw) Title: Equilateral and separated sets in some nonseparable Banach spaces. Abstract: A subset S of a Banach space X is called r-equilateral (resp., r-separated) if any two points of S are in the distance exactly r (resp., at least r) from each other. Whereas Terenzi constructed an infinite-dimensional Banach space without infinite equilateral sets, Elton and Odell proved that the unit sphere of every infinite-dimensional Banach space contains an infinite (1+r)-separated set for some r>0. Recently, some research has been done concerning the uncountable versions of these problems, e.g., Kania, Hajek and Russo proved that the unit sphere of every nonseparable reflexive Banach spaces contains an uncountable (1+r)-separated set for some r>0. During my talk, I will present some known results concerning this line of research and discuss joint results with Piotr Koszmider. In particular, I will show that, under some set-theoretic assumptions, there is an equivalent renorming of the nonseparable Hilbert space ell_2(omega_1) without uncountable equilateral sets.

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Banach spaces webinar on Friday Feb 17 by Mitchell A. Taylor (UC Berkeley)
by Sari, Bunyamin 15 Feb '23

15 Feb '23

Time: Feb 17, 2023 09:00 AM Central Time (US and Canada) Join Zoom Meeting https://unt.zoom.us/j/86082352169 Stable phase retrieval in function spaces, Part II Mitchell A. Taylor (UC Berkeley) Abstract: https://researchseminars.org/talk/BanachWebinars/73/ Let $(\Omega,\Sigma,\mu)$ be a measure space, and $1\leq p\leq \infty$. A subspace $E\subseteq L_p(\mu)$ is said to do stable phase retrieval (SPR) if there exists a constant $C\geq 1$ such that for any $f,g\in E$ we have $$\inf_{|\lambda|=1} \|f-\lambda g\|\leq C\||f|-|g|\|.$$ In this case, if $|f|$ is known, then $f$ is uniquely determined up to an unavoidable global phase factor $\lambda$; moreover, the phase recovery map is $C$-Lipschitz. Phase retrieval appears in several applied circumstances, ranging from crystallography to quantum mechanics. In this talk, I will present some elementary examples of subspaces of $L_p(\mu)$ which do stable phase retrieval, and discuss the structure of this class of subspaces. This is based on a joint work with M. Christ and B. Pineau, as well as a joint work with D. Freeman, B. Pineau and T. Oikhberg.

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