Banach spaces provide a framework for modern mathematical analysis, as they blend
classical analysis, geometry, topology and linearity. This makes Banach space theory a …

This is a commented collection of some easily formulated open problems in the geometry
and analysis on Banach spaces, focusing on basic linear geometry, convexity …

Assuming the generalized continuum hypothesis we construct arbitrarily big
indecomposable Banach spaces. ie, such that whenever they are decomposed as X⊕ Y …

We address the following question: what is the class of Banach spaces isomorphic to
subspaces of indecomposable Banach spaces? We show that this class includes all Banach …

We compare the perturbation classes for closed semi-Fredholm and Fredholm operators
with dense domain acting between Banach spaces with the corresponding perturbation …

We investigate Banach space automorphisms $ T:\ell_\infty/c_0\rightarrow\ell_\infty/c_0 $
focusing on the possibility of representing their fragments of the form $$ T_ {B, A}:\ell_\infty …

Under the impulse of an elementary result that characterizes the finite dimensional vector
spaces (a linear application is injective if, and only if it is surjective) and partial results which …

Spectrum preservers revisited - ScienceDirect Skip to main contentSkip to article Elsevier
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Un espace de Banach X est dit hopfien (resp. semihopfien) si tout opérateur linéaire surjectif
continu de X sur X,(f∈ BL (X), est inversible (resp. inversible á droite) dans l'algebre de …

A sequence ei i= 1∞ in a Banach space X is called a Schauder basis for X if for each x∈ X
there is a unique sequence of scalars α ii= 1∞ such that x= ∑ _ i= 1^ ∞ α _ i e_ i. If the …