Results 181 to 190 of about 49,059 (218)

The modulus of a weakly compact operator

Mathematische Zeitschrift, 1987
G. Groenewegen, A. Rooij
exaly   +2 more sources

Boundary representations of operator spaces, and compact rectangular matrix convex sets

Journal of operator theory, 2016
We initiate the study of matrix convexity for operator spaces. We define the notion of compact rectangular matrix convex set, and prove the natural analogs of the Krein--Milman and the bipolar theorems in this context.
Adam H. Fuller, Michael Hartz, M. Lupini
semanticscholar   +1 more source

The order σ-complete vector lattice of AM-compact operators

Czechoslovak Mathematical Journal, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aqzzouz, Belmesnaoui, Nouira, Redouane
openaire   +1 more source

AM-compactness of positive Dunford-Pettis operators on banach lattices

Rendiconti del Circolo Matematico di Palermo, 2007
The authors characterize Banach lattices \(E, F\) where each positive order weakly compact operator from \(E\) into \(F\) is a Dunford-Pettis operator. They further give a characterization of Banach lattices \(E,F\) where each positive Dunford-Pettis operator from \(E\) into \(F\) is AM-compact. They also consider the converse of the last theorem.
Aqzzouz, Belmesnaoui, Zraoula, L.
openaire   +2 more sources

The Duality Problem for the Class of AM-Compact Operators on Banach Lattices

Canadian Mathematical Bulletin, 2008
AbstractWe prove the converse of a theorem of Zaanen about the duality problem of positive AM-compact operators.
Belmesnaoui Aqzzouz, Redouane Nouira, Larbi Zraoula   +2 more
openaire   +1 more source

Compact weighted composition operators on spaces of holomorphic functions on Banach spaces

Journal of operator theory, 2023
Given an infinite dimensional Banach space X and its open unit ball B, we study when the weighted composition operator Cψ,φ is compact in the space of all bounded analytic functions H∞(B), and when it is bounded, reflexive, Montel and (weakly) compact in
José Bonet, David Jornet, Daniel Santacreu, Pablo Sevilla-Peris   +3 more
semanticscholar   +1 more source

Dedekind σ-complete vector lattice of b-AM-compact operators

Quaestiones Mathematicae, 2017
We give several equivalent conditions characterizing the case when Krb-AM(E,F) is Dedekind σ-complete. Moreover, we describe the case when the space of all regular b-AM-compact operators from E to F is complete under the b-AM-norm.Keywords: Banach lattices, b-AM-compact operator, discrete ...
openaire   +2 more sources

Notes on non-compact maps and the importance of Bernstein numbers

Advances in Operator Theory
In this review paper we study non-compact operators and embeddings between function spaces, highlighting interesting phenomena and the significance of Bernstein numbers.
D. Edmunds, J. Lang
semanticscholar   +1 more source

Belonging of Gel’fand integral of positive operator valued functions to separable ideals of compact operators on Hilbert space

Positivity (Dordrecht), 2022
M. Krstić, Matija Milović, Stefan Milošević   +2 more
semanticscholar   +1 more source

A characterization of compact operators on ℓp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell ^p$$\end{document}-s

Advances in Operator Theory
Let A be a Banach space, p>1,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
M. Abtahi
semanticscholar   +1 more source