自伴算子序列的三明治规则及其应用
The sandwich rule for sequences of self-adjoint operators and some applications
摘要:
本文主要研究Hilbert空间上的有界线性算子序列。主要结果是所谓的挤压定理(或三明治规则)的收敛序列的自伴算子。我们表明,这一定理仍然有效的$B(H)$上的所有三个主要拓扑结构。
英文摘要:
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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