Results 221 to 230 of about 2,892,867 (253)

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

Czechoslovak Mathematical Journal, 2009
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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

Compact-like operators in lattice-normed spaces [PDF]

Indagationes Mathematicae, 2018
A linear operator T between two lattice-normed spaces is said to be p-compact if, for any p-bounded net x(alpha),,the net Tx(alpha) has a p-convergent subnet.
A. Aydın, ERKURŞUN ÖZCAN, NAZİFE, E.Yu. Emelyanov, Erkurşun, Özcan, N., N. Erkurşun Özcan, Emelyanov, E. Yu., Emelyanov, Eduard, Emelyanov, E.Y., M.A.A. Marabeh, Marabeh, M. A. A., AYDIN, ABDULLAH, Marabeh, M.A.A., Ozcan, NAZİFE, Aydın, Abdullah, Aydin, A.   +14 more
exaly   +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

Color formation as a Hilbert space operator: quotient structures and limits of metamerism.

Journal of The Optical Society of America A-optics Image Science and Vision
Color formation, the mapping from spectral reflectances through an illuminant and observer to color responses, is a bounded linear operator from a Hilbert space of spectral functions to the space RC of color responses, where C is the number of sensor ...
P. Morovic, J. Morovič
semanticscholar   +1 more source

Color formation as a Hilbert space operator: metamer mismatching and the limits of chromatic adaptation.

Journal of The Optical Society of America A-optics Image Science and Vision
Building on the Hilbert space operator framework of color formation developed in Morovic and Morovic [J. Opt. Soc. Am. A43, 1614 (2026)JOAOD60740-323210.1364/JOSAA.606555], we extend the single-operator algebra to two color-formation operators W1 and W2 ...
P. Morovic, J. Morovič
semanticscholar   +1 more source