Weakly compact subsets of symmetric operator spaces

Peter G. Dodds; Theresa K. Dodds; Ben De Pagter

doi:10.1017/S0305004100070225

Weakly compact subsets of symmetric operator spaces

Peter G. Dodds
, Theresa K. Dodds
, Ben De Pagter

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

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.

Original language	English
Pages (from-to)	169-182
Number of pages	14
Journal	Mathematical Proceedings of The Cambridge Philosophical Society
Volume	110
Issue number	1
DOIs	https://doi.org/10.1017/S0305004100070225
Publication status	Published - Jul 1991

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title = "Weakly compact subsets of symmetric operator spaces",

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.",

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AB - 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.

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Weakly compact subsets of symmetric operator spaces

Abstract

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