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Projections in Spaces of Bimeasures

Published online by Cambridge University Press:  20 November 2018

Colin C. Graham  and
Bertram M. Schreiber
Colin C. Graham
Affiliation:
Department of Mathematics, University of British Columbia Vancouver, B.C. V6T 1Y4
Bertram M. Schreiber
Affiliation:
Department of Mathematics, Northwestern University Evanston, IL 60201
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Abstract

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Let 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).

Keywords

43A2546J10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 1 , 01 March 1988 , pp. 19 - 25
Copyright
Copyright © Canadian Mathematical Society 1988

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