September 2018 - Banach - mathdept.okstate.edu

Abstract of a paper by Luis C. García-Lirola, Antonín Procházka
by Bentuo Zheng (bzheng) 30 Sep '18

30 Sep '18

This is an announcement for the paper “Pełczyński space is isomorphic to the Lipschitz free space over a compact set” by Luis C. García-Lirola<https://arxiv.org/search/math?searchtype=author&query=Garc%C3%ADa-Lirola%2C…>, Antonín Procházka<https://arxiv.org/search/math?searchtype=author&query=Proch%C3%A1zka%2C+A>. Abstract: We prove the result stated in the title. This provides a first example of an infinite-dimensional Banach space whose Lipschitz free space is isomorphic to the free space of a compact set. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1808.00859

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Abstract of a paper by Antonio Avilés, Gonzalo Martínez-Cervantes
by Bentuo Zheng (bzheng) 30 Sep '18

30 Sep '18

This is an announcement for the paper “Complete metric spaces with property (Z) are length metric spaces” by Antonio Avilés<https://arxiv.org/search/math?searchtype=author&query=Avil%C3%A9s%2C+A>, Gonzalo Martínez-Cervantes<https://arxiv.org/search/math?searchtype=author&query=Mart%C3%ADnez-Cervant…>. Abstract: We prove that every complete metric space with property (Z) is a length space. These answers questions posed by Garc\'{i}a-Lirola, Proch\'{a}zka and Rueda Zoca, and by Becerra Guerrero, L\'{o}pez-P\'{e}rez and Rueda Zoca, related to the structure of Lipschitz-free Banach spaces of metric spaces. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1808.00715

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Banach spaces and optimization: Conference on the occasion of Robert Deville’s 60th birthday
by Tony Prochazka 04 Sep '18

04 Sep '18

Dear colleagues, It is our pleasure to announce *Conference on the occasion of Robert Deville’s 60th birthday: Banach spaces and optimization* which will take place *from June 16 to June 21, 2019* in Métabief, France. Our aim is to bring together experienced and novice researchers interested in Banach space geometry, real analysis, optimization and other fields that Robert’s work has influenced. The conference will feature a series of plenary and short talks on recent advances in these subjects. The following speakers have agreed to give a plenary talk: Daniel Azagra, Aris Daniilidis, Estibalitz Durand-Cartagena, Gilles Godefroy, Antonio Guirao, Petr Hájek, Jesús Jaramillo, Sebastián Lajara, Etienne Matheron, Julian Revalski The registration is open and further information can be found on the website: https://trimestres-lmb.univ-fcomte.fr/Banach-spaces-and-optimization.html Feel free to transmit this announcement to your peers who you suspect might be interested. We are looking forward to meeting you next year in France. Tony Procházka and Matías Raja

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