Banach February 2023

banach@mathdept.okstate.edu

2 participants
3 discussions

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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FW: Summer 2023: The Workshop in Analysis and Probably at Texas A&M University
by Bentuo Zheng (bzheng) 10 Feb '23

10 Feb '23

From: Barton, Cara M <cbarton(a)tamu.edu> Date: Friday, February 10, 2023 at 3:46 PM To: Barton, Cara M <cbarton(a)tamu.edu> Subject: Summer 2023: The Workshop in Analysis and Probably at Texas A&M University CAUTION: This email originated from outside of the organization. Do not click links or open attachments unless you recognize the sender and trust the content is safe. Dear Colleagues, The Workshop in Analysis and Probably at Texas A&M University will be in session from July 5 to July 30, 2023. Summer 2023 Workshop in Analysis and Probability<https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.math.…> This summer we will have two concentration weeks and SUMIRFAS 2023. All the events are scheduled to happen in person and we hope to see you all in College Station to learn new topics, start collaborating on new projects, and mingle! The first concentration week is on: Probability and Algebra: New Expressions<https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.math.…> The second concentration week is on: Ideals and Algebras of Operators on Banach Spaces<https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.math.…> It will be immediately followed by: SUMIRFAS 2023<https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.math.…> The webpages for the various events will be continuously updated and shortly the speakers' lists are finalized, registration will formally open. If you have any questions about the Workshop in Analysis and Probably at Texas A&M University, feel free to reach out to Flo Baudier, Irina Holmes, or Bill Johnson. Best regards, Flo Baudier, and the co-organizers Irina Holmes and Bill Johnson.

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Bananch spaces webinar on Friday 2/10 by Dan Freeman (St Louis)
by Sari, Bunyamin 07 Feb '23

07 Feb '23

Hi all, We have a talk on this Friday Feb 10 at 9am (central US time) by Dan Freeman. Part 2 of the talk wiil be in the following week on Feb 17 by Mitchell Taylor. Zoom link https://unt.zoom.us/j/87400765190 Hope to see you then, Bunyamin https://researchseminars.org/talk/BanachWebinars/72/ Speaker: Daniel Freeman (St Louis University) Title: Stable phase retrieval in function spaces, Part I Abstract. 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. We will discuss how problems in phase retrieval are naturally related to classical notions in the theory of Banach lattices. Through making this connection, we may apply established methods from the subject to attack problems in phase retrieval, and conversely we hope that the ideas and questions in phase retrieval will inspire a new avenue of research in the theory of Banach lattices. This talk is based on joint work with Benjamin Pineau, Timur Oikhberg, and Mitchell Taylor.

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Banach February 2023