Convergence of certain subsequences of the power sequence in a Banach algebra
Open Access
- 1 January 2023
- journal article
- research article
- Published by National Library of Serbia in Filomat
- Vol. 37 (19) , 6387-6394
Abstract
Consider the existence of limits lim n ->infinity complex Banach algebra with the unit, and q is an integer, q >= 2. aqn and lim n ->infinity aqn, where a is an arbitrary element of aKeywords
This publication has 12 references indexed in Scilit:
- Operators which remain convergent when multiplied by certain Hermitian operatorsLinear Algebra and its Applications, 1999
- Multiplicative perturbations of stable and convergent operatorsLinear Algebra and its Applications, 1998
- Isolated spectral pointsProceedings of the American Mathematical Society, 1996
- A generalized Drazin inverseGlasgow Mathematical Journal, 1996
- The hyperpower iteration revisitedLinear Algebra and its Applications, 1996
- Convergence of an operator seriesAequationes mathematicae, 1977
- Power convergence and pseudoinverses of operators in Banach spacesJournal of Mathematical Analysis and Applications, 1974
- Convergent and stable operators and their generalizationJournal of Mathematical Analysis and Applications, 1973
- On generalized inverses and on the uniform convergence of (I − βK)n with application to iterative methodsJournal of Mathematical Analysis and Applications, 1967
- Matrices C with Cn → 0Journal of Algebra, 1964