Absolutely \((q, 1)\)-summing operators acting in \(C(K)\)-spaces and the weighted Orlicz property for Banach spaces
type: Item
instance of: scholarly article
title: Absolutely \((q, 1)\)-summing operators acting in \(C(K)\)-spaces and the weighted Orlicz property for Banach spaces
zbMATH Open document ID: 1487.46012
author: J. M. Calabuig
author: E. A. Sánchez-Pérez
published in: Positivity
publication date: 2021-08-16T00:00:00Z
review text: The authors present the main result which is a characterization of the class of homogeneous weights for which the coincidence of weak weighted summable and norm summable sequences in a Banach space implies that it is finite dimensional. In order to do this, the notion of weighted \((q,\phi )\)-Orlicz property for a Banach space is introduced. Then Pisier's Theorem can be proved using the same standard separation argument that proves Pietsch's Theorem and Maurey-Rosenthal's Theorem.
reviewed by: Elhadj Dahia
Mathematics Subject Classification ID: 46B07
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 7382093
zbMATH Keywords: summability
zbMATH Keywords: Orlicz property
zbMATH Keywords: factorization space
zbMATH Keywords: operator
MaRDI profile type: Publication
full work available at URL: s11117-021-00811-y
OpenAlex ID: W3124513437
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DOI: 10.1007/S11117-021-00811-Y
description: scientific article; zbMATH DE number 7382093