Can I read Even infinite dimensional real Banach spaces on EtoBox?

Even infinite dimensional real Banach spaces by Ferenczi, Valentin; Galego, Eloi Medina is a scholarly article available to read on EtoBox.

What is Even infinite dimensional real Banach spaces about?

This article is a continuation of a paper of the first author \cite{F} about complex structures on real Banach spaces. We define a notion of even infinite dimensional real Banach space, and prove that there exist even spaces, including HI or unconditional examples from \cite{F} and $C(K)$ examples due to Plebanek \cite{P}. We extend results of \cite{F} relating the set of complex structures up to isomorphism on a real space to a group associated to inessential operators on that space, and give characterizations of even spaces in terms of this group. We also generalize results of \cite{F} about totally incomparable complex structures to essentially incomparable complex structures, while showing that the complex version of a space defined by S. Argyros and A. Manoussakis \cite{AM} provide examples of essentially incomparable complex structures which are not totally incomparable.

Author

Ferenczi, Valentin; Galego, Eloi Medina

Published

2007

Language

EN