

Algebras in Analysis
October 27, 2017 18:05–19:35, Moscow, Lomonosov Moscow State University, room 1320.






The LindenstraussTzafriri theorem and the local theory of Banach spaces
A. B. Kalmynin^{} 
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Abstract:
Let $X$ be a Banach space. The LindenstarussTzafriri 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 finitedimensional 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.

