A criterion of strong density of operator subalgebras

作者:Wawrzynczyk Antoni*
来源:Bulletin of the Belgian Mathematical Society Simon Stevin, 2016, 23(3): 385-389.
DOI:10.36045/bbms/1473186512

摘要

The purpose of the note is to show the usefulness of a simple criterion of density of a subalgebra A subset of L(X) in the strong operator topology for arbitrary real or complex locally convex vector space X. After proving the criterion we observe its efficiency obtaining short proofs of three important known density theorems plus a new one.

  • 出版日期2016-9

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