The Sandwich Rule for Sequences of Self-Adjoint Operators and Some Applications

Ch. Chellali, Mohammed Hichem Mortad

Type: Article

Publication Date: 2022-08-05

Citations: 1

DOI: https://doi.org/10.1007/s10476-022-0171-5

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). Some interesting consequences are given.

Locations

arXiv (Cornell University) - View - PDF
Analysis Mathematica - View

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Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	The Sandwich Rule for Sequences of Self-Adjoint Operators and Some Applications	2022	Ch. Chellali Mohammed Hichem Mortad

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	A Hilbert Space Problem Book	1982	Paul R. Halmos
+	Real Analysis: A Comprehensive Course in Analysis, Part 1	2015	Barry Simon
+ PDF Chat	On the absolute value of the product and the sum of linear operators	2018	Mohammed Hichem Mortad
+	An Operator Theory Problem Book	2017	Mohammed Hichem Mortad
+ PDF Chat	On the absolute value of unbounded operators	2019	Imene Boucif Souheyb Dehimi Mohammed Hichem Mortad
+	On The Absolute Value of The Product and the Sum of Linear Operators	2017	Mohammed Hichem Mortad
+ PDF Chat	Generalizations of Reid inequality	2018	Souheyb Dehimi Mohammed Hichem Mortad
+ PDF Chat	The Sandwich Rule for Sequences of Self-Adjoint Operators and Some Applications	2022	Ch. Chellali Mohammed Hichem Mortad
+	Counterexamples in Operator Theory	2022	Mohammed Hichem Mortad
+	Linear Operators in Hilbert Spaces	1980	Joachim Weidmann