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Banach space theory is the main theme of this proposal. This theory has a long history going back to the pioneering works by Stefan Banach in the 1930s. It is well-known nowadays that Banach space the...
In this paper we study the reflexivity of a unital strongly closed algebra of operators with complemented invariant subspace lattice on a Banach space. We prove that if such an algebra contains a comp...
The paper introduces the concept of noncommutative Banach spaces and obtains several fixed point theorems for continuous or discontinuous ordered contractive maps in ordered noncommutative Banach spac...
Abstract: In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Be...
Abstract: The aim of this paper is to extend the framework of the spectral method for proving property (T) to the class of reflexive Banach spaces and present conditions implying that every affine iso...
We prove that a continuous image of a Radon-Nikod´ym compact of weight less than b is Radon-Nikod´ym compact. As a Banach space counter-part, subspaces of Asplund generated Banach spaces o...
We construct a family of separable Hilbertian opera-tor spaces, such that the relation of complete isomorphism between the subspaces of each member of this family is complete K. We also investigate ...

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