Dear all,
The final schedule and abstracts for SUMIRFAS 2021 are available here.
https://www.math.tamu.edu/~irinaholmes/SUMIRFAS21/SUMIRFAS2021.html
The Zoom invitation is copied below.
If you have not yet formally registered (even if your plan is to attend remotely), we would greatly appreciate for organizational purposes if you could please send a brief email to florent(a)tamu.edu<mailto:florent@tamu.edu> to notify us of your intent to attend the meeting.
We look forward to seeing you, whether in-person or remotely, at SUMIRFAS 2021!
Flo Baudier,
on behalf of the organizers, Bill Johnson, Irina Holmes, Eviatar Procaccia.
Dear Colleagues,
We hope to find you all in good health. This Summer, SUMIRFAS 2021 will be the main event of the Workshop in Analysis and Probability at Texas A&M University.
Due to ongoing travel restrictions, we will offer a hybrid version of the iconic SUMIRFAS event.
This means that ALL talks will be available online but the talks will also be broadcasted LIVE in a lecture hall on campus! A few speakers will deliver their talks in person and on campus.
Therefore, we will be happy to accommodate mathematicians who will be willing to attend the talks with other fellow participants on the Texas A&M campus while the SUMIRFAS will be happening. Dictated by the fluid sanitary situation, we might have to limit the number of participants on-campus in order to guarantee a safe and healthy environment.
If you want to attend the talks remotely it is imperative that you register prior to SUMIRFAS 2021 so that we can send you the Zoom link before the SUMIRFAS begins. To formally register please contact Cara Starmer or one of the organizers: Bill Johnson, Irina Holmes, Eviatar Procaccia, or Flo Baudier. More practical information, contact information, the list of speakers, and the schedule are available here:
https://www.math.tamu.edu/~irinaholmes/SUMIRFAS21/SUMIRFAS2021.html<https://urldefense.com/v3/__https:/www.math.tamu.edu/*irinaholmes/SUMIRFAS2…>
We look forward to seeing you soon in Aggieland.
Flo Baudier,
on behalf of the organizers, Bill Johnson, Irina Holmes, Eviatar Procaccia.
Hello,
The next Banach spaces webinar is on Friday July 16 at 9AM Central time. Please join us at
https://unt.zoom.us/j/83807914306
Title: Compact retractions and the $\pi$-property of Banach spaces
Speaker: Rubén Medina (Granada)
Abstract: In the talk we will focus on Lipschitz retractions of a separable
Banach space $X$ onto its closed and convex generating subsets $K$, a
question asked by Godefroy and Ozawa in 2014. Our results are concerning
the case when $K$ is in some quantitative sense small, namely when $K$
is in very little neibourhoods of certain finite dimensional sections of
it. Under such assumptions we obtain a near characterization of the
$\pi$-property (resp. Finite Dimensional Decomposition property) of a
separable Banach space $X$. In one direction, if $X$ admits the Finite
Dimensional Decomposition (which is isomorphically equivalent to the
metric-$\pi$-property) then we will see how to construct a Lipschitz
retraction onto a (small) generating convex compact $K$. On the other
hand, we will prove that if $X$ admits a small (in a precise sense)
generating compact Lipschitz retract then $X$ has the $\pi$-property. It
seems to be an open problem whether the $\pi$-property is isomorphically
equivalent to the metric-$\pi$-property (a positive answer would turn
our results into a complete characterization). In the case of dual
Banach spaces, this characterization is indeed valid.
For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach
Thank you, and best regards,
Bunyamin Sari
Hello,
The next Banach spaces webinar is on Friday July 9 at 9AM Central time. Please join us at
https://unt.zoom.us/j/83807914306
Title: Bidemocratic bases and their connections with other greedy-type bases
Speaker. Miguel Berasategui (University of Buenos Aires)
Abstract: In this talk we will focus on bidemocratic bases of Banach and quasi-Banach spaces, and their greedy-like properties. In particular, we will address the relation between bidemocratic bases and quasi-greedy bases. On the one hand, there are subspaces of $\ell_p$ with bidemocratic bases that are not quasi-greedy. On the other hand, for every arbitrary fundamental function $\varphi$, there is a Banach space with a bidemocratic, quasi-greedy conditional Schauder basis whose fundamental funcion grows as $\varphi$.
For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach
Thank you, and best regards,
Bunyamin Sari
Hello,
The next Banach spaces webinar is on Friday July 2 at 9AM Central time. Please join us at
https://unt.zoom.us/j/83807914306
Title: Closed ideals in the algebra of compact-by-approximable operators
Speaker. Henrik Johannes Wirzenius (University of Helsinki)
Abstract: In this talk I will present various examples of non-trivial closed ideals of the compact-by-approximable quotient algebra $\mathfrak A_X=\mathcal K(X)/\mathcal A(X)$ on Banach spaces $X$ failing the approximation property. Here $\mathcal K(X)$ denotes the algebra of compact operators $X\to X$ and $\mathcal A(X)=\overline{\mathcal F(X)}$ is the uniform norm closure of the bounded finite rank operators $\mathcal F(X)$.
The examples include:
(i) If $X$ has cotype 2, $Y$ has type 2, $\mathfrak A_X\neq\{0\}$ and $\mathfrak A_Y\neq\{0\}$, then $\mathfrak A_{X\oplus Y}$ has at least 2 (and in some cases up to 8) closed ideals.
(ii) For all $4\lt p\lt \infty$ there are closed subspaces $X\subset\ell^p$ and $X\subset c_0$ such that $\mathfrak A_X$ has a non-trivial closed ideal.
(iii) A Banach space $Z$ such that $\mathfrak A_Z$ contains an uncountable lattice of closed ideals.
The talk is based on a recent preprint [arXiv:2105.08403] together with Hans-Olav Tylli (University of Helsinki).
For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach
Thank you, and best regards,
Bunyamin Sari