Banach August 2020

banach@mathdept.okstate.edu

2 participants
6 discussions

Banach spaces webinar on Friday Aug 28 by Tommaso Russo (Czech Academy of Sciences and Czech Technical University in Prague)
by Sari, Bunyamin 25 Aug '20

25 Aug '20

Dear all, The next Banach spaces webinar is on Friday August 28 9AM CDT (e.g., Dallas, TX time). Please join us at https://unt.zoom.us/j/512907580 Speaker: Tommaso Russo (Czech Academy of Sciences and Czech Technical University in Prague) Title: Asplund Banach spaces with norming Markuševič bases Abstract The first existence result for norming Markuševič bases (M-bases, for short) in Banach spaces is perhaps due to Markuševič, who proved that every separable Banach space admits a 1-norming M-basis. After the introduction of projectional resolutions of the identity, it became clear that such bases also exist in every reflexive Banach space. In order to understand the strength of the said notion, a natural problem at the time was then to characterise those (non-separable) Banach spaces that admit a norming M-basis. Perhaps the main question, due originally to John and Zizler and that was solved very recently by P. Hájek, was whether every weakly compactly generated (WCG) Banach space admits a norming M-basis. In the converse direction, it was asked by Gilles Godefroy if an Asplund space with a norming M-basis is necessarily WCG. In the talk, based on a joint work with P. Hájek, J. Somaglia, and S. Todorčević, we shall discuss our recent negative answer to the latter question. Moreover, the construction yields an interesting example of a scattered compact space that also solves a question due to Wiesław Kubiś and Arkady Leiderman. * For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach Upcoming schedule September 4: Mary Angelica Tursi (UIUC) Thank you, and best regards, Bunyamin Sari

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Banach spaces webinar on Friday August 21 by Khazhak Navoyan (Thompson Rivers University)
by Sari, Bunyamin 17 Aug '20

17 Aug '20

Dear all, The next Banach spaces webinar is on Friday August 21 9AM CDT (e.g., Dallas, TX time). Please join us at https://unt.zoom.us/j/512907580 Speaker: Khazhakanush Navoyan (Thompson Rivers University) Title: The positive Schur property on spaces of regular multilinear operators Abstract In this paper we give necessary and sufficient conditions for the space of regular multilinear operators from the product of Banach lattices to a Dedekind complete Banach lattice to have the positive Schur property. We also characterize the positive Schur property on the positive projective $m$-fold tensor product of Banach lattices, $m \in \mathbb{N}$, and on its dual. This is a joint work with Geraldo Botelho, Qingying Bu and Donghai Ji. * For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach Upcoming schedule August 28: Tommaso Russo (Czech Technical University) Thank you, and best regards, Bunyamin Sari

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Banach spaces webinar on Friday August 14 by Robert Young (NYU)
by Sari, Bunyamin 11 Aug '20

11 Aug '20

Dear all, The next Banach spaces webinar is on Friday August 14 9AM CDT (e.g., Dallas, TX time). Please join us at https://unt.zoom.us/j/512907580 Speaker: Robert Young (NYU) Title: Metric differentiation and Lipschitz embeddings in $L_p$ spaces Abstract Kadec and Pełczyński showed that if $1\le p\lt 2\lt q\lt \infty$ and $X$ is a Banach space that embeds into both $L_p$ and $L_q$, then $X$ is isomorphic to a Hilbert space. The search for metric analogues of such a result is intertwined with the Ribe program and metric theories of type and cotype. Recently, with Assaf Naor, we have constructed a metric space based on the Heisenberg group which embeds into $L_1$ and $L_4$ but not in $L_2$. In this talk, we will describe this example, explain why embeddings of the Heisenberg group into Banach spaces must be "bumpy" at many scales, and discuss how to bound the bumpiness of Lipschitz maps to Banach spaces. * For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach Upcoming schedule August 21: Gilles Pisier (TAMU) Thank you, and best regards, Bunyamin Sari

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Postdoc Position at University of Memphis
by Bentuo Zheng (bzheng) 10 Aug '20

10 Aug '20

Dear Subscribers, This is an announcement for a two-year postdoc position (with the possibility of renewal for the third year) at University of Memphis. Functional Analysis is one of our preferred areas. Please find the details at the following link: https://workforum.memphis.edu/postings/25767 Since the time frame for the application is relatively short, we encourage eligible candidates to apply as soon as possible. Best regards, Bentuo Zheng Professor, Department of Mathematical Sciences, College of Arts and Sciences [UofM logo] The University of Memphis 359 Dunn Hall Memphis, TN 38152<http://www.memphis.edu/emailsignatures/emailsignaturemac.php#> 901.678<http://www.memphis.edu/emailsignatures/emailsignaturemac.php#>.3534 | memphis.edu<http://www.memphis.edu/>

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Banach spaces webinar on Friday August 7 by Pete Casazza
by Sari, Bunyamin 03 Aug '20

03 Aug '20

Dear all, The next Banach spaces webinar is on Friday August 7 9AM CDT (e.g., Dallas, TX time). Please join us at https://unt.zoom.us/j/512907580 Speaker: Pete Casazza (University of Missouri) Title: Tsirelson space, explicitly definable Banach space, implicitly definable Banach space Abstract. We prove that Tsirelson's space cannot be defined explicitly from the classical Banach sequence spaces. We also prove that any Banach space that is explicitly definable from a class of spaces that contain $\ell_p$ or $c_0$ must contain $\ell_p$ or $c_0$ as well. * For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach Upcoming schedule August 14: Robert Young (NYU) Thank you, and best regards, Bunyamin Sari

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Updated list of papers for July 2020
by Bentuo Zheng (bzheng) 01 Aug '20

01 Aug '20

Dear Subscribers, Please check the following link for updated list of papers for July 2020. https://bentuo.wixsite.com/banach/banach-space-bulletin-board MOST RECENT PREPRINTS | Banach<https://bentuo.wixsite.com/banach/banach-space-bulletin-board> Most Recent Preprints. June, 2020. Rosenthal's space revisited by Sergey V. Astashkin, Guillermo P. Curbera.. Reflexive Banach spaces with all power-bounded operators ... bentuo.wixsite.com

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Banach August 2020