English

The sandwich rule for sequences of self-adjoint operators and some applications

Functional Analysis 2021-11-24 v2 Operator Algebras

Abstract

In this paper, we mainly deal with sequences of bounded linear operators on Hilbert space. The main result is the so-called squeeze theorem (or sandwich rule) for convergent sequences of self-adjoint operators. We show that this theorem remains valid for all three main topologies on B(H)B(H).

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Cite

@article{arxiv.2104.07093,
  title  = {The sandwich rule for sequences of self-adjoint operators and some applications},
  author = {Cherifa Chellali and Mohammed Hichem Mortad},
  journal= {arXiv preprint arXiv:2104.07093},
  year   = {2021}
}

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