English

On the norm closure problem for complex symmetric operators

Functional Analysis 2011-03-31 v3

Abstract

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

Keywords

Cite

@article{arxiv.1103.5137,
  title  = {On the norm closure problem for complex symmetric operators},
  author = {Stephan Ramon Garcia and Daniel E. Poore},
  journal= {arXiv preprint arXiv:1103.5137},
  year   = {2011}
}

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R2 v1 2026-06-21T17:44:59.890Z