RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars





You may need the following programs to see the files








Algebras in Analysis
October 27, 2017 18:05–19:35, Moscow, Lomonosov Moscow State University, room 13-20.
 


The Lindenstrauss-Tzafriri theorem and the local theory of Banach spaces

A. B. Kalmynin

Number of views:
This page:29

Abstract: Let $X$ be a Banach space. The Lindenstaruss-Tzafriri theorem states that if each closed subspace of $X$ is complemented in $X$, then $X$ is topologically isomorphic to a Hilbert space. It turns out that the above result can be equivalently stated in terms of finite-dimensional subspaces of $X$, and that it can be proved with the help of the local theory of Banach spaces. In my talk, I am going to present such a proof.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020