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arXiv · 2104.07093

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

Cherifa Chellali·Mohammed Hichem Mortad
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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 $B(H)$.

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Cherifa Chellali, Mohammed Hichem Mortad. 2021-04-14. The sandwich rule for sequences of self-adjoint operators and some applications. https://arxiv.org/abs/2104.07093

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