Open Access
september 2016 A criterion of strong density of operator subalgebras
Antoni Wawrzyńczyk
Bull. Belg. Math. Soc. Simon Stevin 23(3): 385-389 (september 2016). DOI: 10.36045/bbms/1473186512

Abstract

The purpose of the note is to show the usefulness of a simple criterion of density of a subalgebra $\mathcal A\subset L(X)$ 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.

Citation

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Antoni Wawrzyńczyk. "A criterion of strong density of operator subalgebras." Bull. Belg. Math. Soc. Simon Stevin 23 (3) 385 - 389, september 2016. https://doi.org/10.36045/bbms/1473186512

Information

Published: september 2016
First available in Project Euclid: 6 September 2016

zbMATH: 1358.47041
MathSciNet: MR3545459
Digital Object Identifier: 10.36045/bbms/1473186512

Subjects:
Primary: 47A15
Secondary: 47A58 , 47A65

Keywords: continuous operator , Locally convex space , strong operator topology

Rights: Copyright © 2016 The Belgian Mathematical Society

Vol.23 • No. 3 • september 2016
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