Belonging of Gel'fand integral of positive operator valued functions to separable ideals of compact operators on Hilbert space
type: Item
instance of: scholarly article
title: Belonging of Gel'fand integral of positive operator valued functions to separable ideals of compact operators on Hilbert space
author: Matija Milović
author: Stefan Milošević
author: Mihailo A. Krstić
published in: Positivity
publication date: 2022-11-21T00:00:00Z
review text: In this paper, the authors study the weak* integral of operator valued function. Where they found sufficient and necessary conditions for these operators to belong to ideals of compact linear operators. Some applications of these results are given.
reviewed by: Elhadj Dahia
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 46G10
Mathematics Subject Classification ID: 47A65
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47B15
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 7621106
zbMATH Keywords: weak\(^\ast\) integral
zbMATH Keywords: operator-valued measure
zbMATH Keywords: unitarily invariant norm
zbMATH Keywords: symmetrically norming function
MaRDI profile type: Publication
full work available at URL: s11117-022-00958-2
OpenAlex ID: W4309582449
cites work: Q5690490
cites work: Q4148368
cites work: Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
cites work: Non-commutative Clarkson inequalities for \(n\)-tuples of operators
cites work: Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
cites work: Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms
cites work: Landau and Grüss type inequalities for inner product type integral transformers in norm ideals
cites work: Q5694963
DOI: 10.1007/S11117-022-00958-2
description: scientific article; zbMATH DE number 7621106