NONCOMMUTATIVE MACKEY THEOREM

Date

2011-04-01

Author

Dosi, Anar

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In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/64313

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Natural Sciences and Mathematics, Article