On the differences of the consecutive powers of Banach algebra elements

Keywords

Banach algebra, Resolvent, Mathematics, Unital, Compact space

References

• Complete Normed AlgebrasF. F. Bonsall, John F. R. Duncan — 1973
• Summability Through Functional AnalysisA. Wilansky — 1984
• Power-dominated elements in a Banach algebraGraham Allan, Thomas Ransford — 1989
• On the Gelfand-Hille theoremsJaroslav Zemánek — 1994
• Spectral characterization of operators with precompact orbitAndrzej Święch — 1990
• Convergence of Iterations for Linear EquationsOlavi Nevanlinna — 1993
• Introduction to functional analysis, 2nd ed.Angus E. Taylor, David C. Lay — 1986
• On power bounded operatorsYitzhak Katznelson, Lior Tzafriri — 1986
• A short proof of the Y. Katznelson’s and L. Tzafriri’s theoremVũ Qúôc Phóng — 1992
• Some convergence theorems in Banach algebras.J. J. Koliha — 1974
• Locally Compact Monothetic Semi‐AlgebrasM. A. Kaashoek, T. T. West — 1968
• Stability Properties Characterizing the Spectra of Operators on Banach SpacesShao-Yu Huang — 1995
• Cesàro means and the Kreiss matrix theoremJohn C. Strikwerda, Bruce A. Wade — 1991
• On the Speed of Convergence in the (C, α) Uniform Ergodic Theorem for Quasi-compact OperatorsTakeshi Yoshimoto — 1993
• über die Verallgemeinerung eines Ergodensatzes von DunfordHans Wacker — 1985
• On the uniform ergodic theoremMichael Lin — 1974
• On the peripheral spectrumJosé I. Nieto — 1980
• Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen ApproximierenHeinz‐Otto Kreiss — 1962
• On the Uniform Ergodic TheoremMichael Lin — 1974
• Sur le théorème ergodique uniforme et le spectreMostafa Mbekhta, Jaroslav Zemánek — 1993

Cited by

• A generalization of the uniform ergodic theorem to poles of arbitrary orderLaura Burlando — 1997
• A note on the differences of the consecutive powers of operatorsAndrzej Święch — 1997
• A resolvent condition implying power boundednessBéla Nagy, Jaroslav Zemánek — 1999

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