Projections in Spaces of Bimeasures

Author:

Graham Colin C.,Bertram M. Schreiber

Abstract

AbstractLet X and Y be metrizable compact spaces and μ and v be nonzero continuous measures on X and Y, respectively. Then there is no bounded operator from the space of bimeasures BM(X, Y) onto the closed subspace of BM(X, Y) generated by L1 (μ X v); in particular, if X and Fare nondiscrete locally compact groups, then there is no bounded projection from BM(X, Y) onto the closed subspace of BM(X, Y) generated by L1(X X Y).

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Projective boundedness and convolution of Fréchet measures;Proceedings of the American Mathematical Society;2000-06-07

2. Projectively bounded Fréchet measures;Transactions of the American Mathematical Society;1996

3. Regular unbounded set functions;Journal d'Analyse Mathématique;1995-12

4. Integration with respect to vector valued Radon polymeasures;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1994-02

5. Bilinear operators onL∞(G) of locally compact groups;Pacific Journal of Mathematics;1993-03-01

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