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Physical Sciences and Engineering Mathematics Analysis

Automatic continuity and amenability in the non-commutative Schwartz space

Article ID Journal Published Year Pages File Type
4614702 Journal of Mathematical Analysis and Applications 2015 11 Pages PDF
Abstract

We show that all positive functionals as well as all derivations of the non-commutative Schwartz space are continuous. We also prove this space is not boundedly approximately amenable however it is approximately amenable.

Keywords
BimoduleDerivation
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Automatic continuity and amenability in the non-commutative Schwartz space
Authors
Krzysztof Piszczek,
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Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
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