GAPS BETWEEN SOME SPECTRAL CHARACTERISTICS OF DIRECT SUM OF HILBERT SPACE OPERATORS

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İSMAİLOV Z., Mert R. Ö.

Operators and Matrices, vol.16, no.1, pp.337-347, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.7153/oam-2022-16-27
  • Journal Name: Operators and Matrices
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.337-347
  • Keywords: Operator norm, spectral radius, numerical radius
  • Karadeniz Technical University Affiliated: Yes

Abstract

© 2022, Element D.O.O.. All rights reserved.In the present study, we investigate how the gaps between some spectral characteristics (operator norm, upper and lower bounds of spectrum and numerical range) of finite direct sum of Hilbert space operators are related to the same spectral characteristics of the coordinate operators.