Norm estimates for matrix operators between Banach spaces
type: Item
instance of: scholarly article
title: Norm estimates for matrix operators between Banach spaces
zbMATH Open document ID: 1304.47049
author: Paweł Mleczko
author: Mieczysław Mastyło
published in: Linear Algebra and its Applications
publication date: 2013-01-16T00:00:00Z
review text: In the present paper, the authors examine norm estimates of an operator represented by a matrix between Banach spaces and provide some lower bounds of the norms for operators acting between Banach sequence lattices. In particular, they obtain a general variant of Hardy-Littlewood's result. They study operators from abstract Hardy spaces to Banach sequence lattices, introduce the class of operators ``radially generated by a matrix'' and examine norm estimates for such operators. Also, they provide applications in the setting of Calderón-Lozanovskii spaces. The paper is written very carefully and nicely. The terms used in the paper are explained in detail.
Mathematics Subject Classification ID: 47B60
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 46B45
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 6125844
zbMATH Keywords: Hardy spaces
zbMATH Keywords: rearrangement invariant spaces
zbMATH Keywords: Banach sequence lattices
reviewed by: Mubariz T. Karaev
MaRDI profile type: Publication
full work available at URL: j.laa.2012.09.002
OpenAlex ID: W1999512610
cites work: Norm estimates for operators from \(H^p\) to \(\ell^q\)
cites work: Indices of Function Spaces and their Relationship to Interpolation
cites work: Interpolation of linear operators in spaces of vector-valued functions and with mixed norm
cites work: Intermediate spaces and interpolation, the complex method
cites work: Q4252509
cites work: A characterization of matrix operators on \(\ell^ 2\)
cites work: A Lattice Renorming Theorem and Applications to Vector-Valued Processes
cites work: Orlicz norm estimates for eigenvalues of matrices
cites work: Q4850055
cites work: Multipliers between Orlicz sequence spaces
cites work: Q5618011
cites work: Q4458484
cites work: Strongly extreme points in Köthe-Bochner spaces
cites work: Q4188284
cites work: On some Banach lattices. IV
cites work: Q3857298
cites work: Absolutely summing multipliers on abstract Hardy spaces
cites work: An interpolation approach to Hardy-Littlewood inequalities for norms of operators on sequence spaces
cites work: Norm Estimates for OperatorsT:Hp→lqInvolvinglr(ls) Norms
cites work: Q4347091
cites work: Q3800550
cites work: Some Sequence Spaces Related to the l p Spaces
cites work: On Compact Matrix Transformations between Sectionally Bounded BK -Spaces
cites work: Notes on interpolation of Hardy spaces
DOI: 10.1016/J.LAA.2012.09.002
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description: scientific article; zbMATH DE number 6125844