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Weakly compact subsets of symmetric operator spaces

Published online by Cambridge University Press:  24 October 2008

Peter G. Dodds ,
Theresa K. Dodds  and
Ben De Pagter
Peter G. Dodds
Affiliation:
School of Information Science & Technology, The Flinders University of South Australia, GPO Box 2100, Adelaide 5001, Australia
Theresa K. Dodds
Affiliation:
School of Information Science & Technology, The Flinders University of South Australia, GPO Box 2100, Adelaide 5001, Australia
Ben De Pagter
Affiliation:
Department of Mathematics, Delft University of Technology, Julianalaan 132, NL-2628 BL Delft, The Netherlands
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Abstract

Under natural conditions it is shown that the rearrangement invariant hull of a weakly compact subset of a properly symmetric Banach space of measurable operators affiliated with a semi-finite von Neumann algebra is again relatively weakly compact.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 1 , July 1991 , pp. 169 - 182
Copyright
Copyright © Cambridge Philosophical Society 1991

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