Document Zbl 0767.46040

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

Weakly compact subsets of symmetric operator spaces. (English) Zbl 0767.46040

Math. Proc. Camb. Philos. Soc. 110, No. 1, 169-182 (1991).

Summary: 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.

Cited in 12 Documents

MSC:

46L51	Noncommutative measure and integration
46L53	Noncommutative probability and statistics
46L54	Free probability and free operator algebras
46A50	Compactness in topological linear spaces; angelic spaces, etc.
47L07	Convex sets and cones of operators

Keywords:

rearrangement invariant hull of a weakly compact subset; relatively weakly compact; properly symmetric Banach space of measurable operators affiliated with a semifinite von Neumann algebra

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References:

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