Convergence of certain subsequences of the power sequence in a Banach algebra-Reference-Cited by-同舟云学术

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Convergence of certain subsequences of the power sequence in a Banach algebra

Published:2023 Issue:19 Volume:37 Page:6387-6394
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Djordjevic Dragan¹,Kolundzija Milica¹^ORCID,Karizaki Mehdi Mohammadzadeh²^ORCID

Affiliation:

1. University of Niš, Faculty of Sciences and Mathematics, Department of Mathematics, Niš, Serbia

2. Department of Computer Engineering, University of Torbat Heydarieh, Torbat Heydarieh, Iran

Abstract

We consider the existence of limits lim n?? aqn and lim n?? aqn, where a is an arbitrary element of a complex Banach algebra with the unit, and q is an integer, q ? 2.

Publisher

National Library of Serbia

Reference14 articles.

1. B. E. Cain, Operators which remain convergent when multiplied by certain Hermitian operator, Linear Algebra Appl. 297 (1999), 57-61.

2. B. E. Cain, L. M. DeAlba, L. Hogben and C. R. Johnson, Multiplicative perturbations of stable and convergent operators, Linear Algebra Apll. 268 (1998), 151-169.

3. Xu-Zhou Chen, R. E. Hartwig, The hyperpower iteration revisited, Linear Algebra Appl. 233 (1996), 207-229.

4. D. S. Djordjević, V. Rakočević, Lectures on generalized inverses, University of Niš, Faculty of Sciences and Mathematics, Niš, 2008.

5. R. E. Harte, Invertibility and Singularity for Bounded Linear Operators, Marcel Dekker, New York, 1988.

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