On the Norm Closure Problem for Complex Symmetric Operators

Authors

Stephan Ramon Garcia, Pomona CollegeFollow
Daniel E. Poore '11, Pomona College

Student Co-author

Pomona Undergraduate

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2013

Keywords

Complex symmetric operator, norm closure, Hilbert space

Abstract

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

Rights Information

© 2012 American Mathematical Society

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1090/S0002-9939-2012-11347-4

Recommended Citation

Garcia, S.R., Poore, D.E., On the norm closure problem for complex symmetric operators, Proc. Amer. Math. Soc. 141 (2013), no. 2, 549. MR2996959. doi: 10.1090/S0002-9939-2012-11347-4