Analytic representations of dominated bilinear operators
type: Item
instance of: scholarly article
title: Analytic representations of dominated bilinear operators
zbMATH Open document ID: 0872.46015
DOI: 10.1007/BF02107342
author: G. N. Shotaev
published in: Siberian Mathematical Journal
publication date: 1996-09-03T00:00:00Z
review text: A linear isometry is established between a space of dominated operators on a product space and an appropriate space of linear operators. Specifically, for Banach spaces \(X\) and \(Y\), let \(Z\) denote the projective tensor product of \(X\) and \(Y\). Given an arbitrary \(K\)-space \(E\), \({\mathcal L}_A(Z,E)\) denotes the space of linear operators with the corresponding norm and \({\mathcal B}_A(X,Y;E)\) denotes the dominated operators acting on the product of \(X\) and \(Y\). An isometry is established between \({\mathcal L}_A(Z,E)\) and \({\mathcal B}_A(X,Y;E)\).
reviewed by: William A. Feldman
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 47B60
Mathematics Subject Classification ID: 47B65
Mathematics Subject Classification ID: 46B28
zbMATH DE Number: 923553
zbMATH Keywords: linear isometry
zbMATH Keywords: dominated operators
zbMATH Keywords: product space
zbMATH Keywords: space of linear operators
zbMATH Keywords: projective tensor product
MaRDI profile type: Publication
cites work: Q4725223
cites work: Q4000054
cites work: Q4089381
cites work: Q4726865
cites work: Q4095386
cites work: Q3763130
cites work: Q3974404
description: scientific article; zbMATH DE number 923553