On the norm closure problem for complex symmetric operators

Author:

Garcia Stephan,Poore Daniel

Abstract

We prove that the set of all complex symmetric operators on a separable, infinite-dimensional Hilbert space is not norm closed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference3 articles.

1. Complex symmetric operators and applications. II;Garcia, Stephan Ramon;Trans. Amer. Math. Soc.,2007

2. Complex symmetric partial isometries;Garcia, Stephan Ramon;J. Funct. Anal.,2009

3. The class of complex symmetric operators is not norm closed;Zhu, Sen;Proc. Amer. Math. Soc.,2012

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