Geodesic
Convergence of certain subsequences of the power sequence in a Banach algebra
Filomat, Tome 37 (2023) no. 19, p. 6387

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

We consider the existence of limits lim n→∞ a qn and lim n→∞ a q n , where a is an arbitrary element of a complex Banach algebra with the unit, and q is an integer, q ≥ 2.
DOI : 10.2298/FIL2319387D
Classification : 46H05, 47A05, 15A09
Keywords: Convergence of power sequences, Group inverse, Functional calculus, Spectral idempotent 
Dragan S Djordjević; Milica Z Kolundžija; Mehdi Mohammadzadeh Karizaki. Convergence of certain subsequences of the power sequence in a Banach algebra. Filomat, Tome 37 (2023) no. 19, p. 6387 . doi: 10.2298/FIL2319387D
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     title = {Convergence of certain subsequences of the power sequence in a {Banach} algebra},
     journal = {Filomat},
     pages = {6387 },
     year = {2023},
     volume = {37},
     number = {19},
     doi = {10.2298/FIL2319387D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319387D/}
}
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