This book on Banach space theory focuses on what have been called three-space
problems. It contains a fairly complete description of ideas, methods, results and …

Page 1 BIRKHAUSER Operator Theory Advances and Applications Vol. 194 Tauberian
Operators Manuel González Antonio Martínez-Abejón Page 2 BIRKHAUSER Page 3 Operator …

We study some examples of tauberian operators and show that the second conjugate of a
tauberian operator is not always tauberian, answering a question of Kalton and Wilansky …

An operator T from a Banach lattice E into a Banach space is disjointly non-singular (DN-S,
for short) if no restriction of T to a subspace generated by a disjoint sequence is strictly …

EUDML | Operator semigroups in Banach space theory Skip to main content (access key 's'),
Skip to navigation (access key 'n'), Accessibility information (access key '0') EuDML - The …

We characterize tauberian operators $ T: L_1 (μ)→ Y $ in terms of the images of disjoint
sequences and in terms of the image of the dyadic tree in $ L_1 [0, 1] $. As applications, we …

Upper semi—Fredholm operators and tauberian operators on Banach spaces (definitions
below) admit the following perturbative characterizations [6],[2]: An operator T: X—» Y is …

A basic sequence in a Banach space is called wide-(s) if it is bounded and dominates the
summing basis.(Wide-(s) sequences were originally introduced by I. Singer, who termed …

A standard way to obtain extensions (resp. liftings) of operators is by making the so-called
operations of push-out (resp. pull-back). In this paper we study the preservation of some …

We introduce and study some operational quantities which characterize the disjointly non-
singular operators from a Banach lattice E to a Banach space Y when E is order continuous …