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The Behavior of The Orbits of Power Bounded Operators

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Date

2014

Journal Title

Journal ISSN

Volume Title

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Element

Abstract

Let T be a power bounded operator on a Banach space X and let sigma(T) (x) be the local spectrum of T at x is an element of X. In this paper, we study the asymptotic behavior of the orbits {T(n)x : n >= 0} in terms of the local spectrum of T at x.

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Keywords

Power Bounded Operator, Local Spectrum, Helson Set, Sidon Set, Stability

Turkish CoHE Thesis Center URL

WoS Q

Q4

Scopus Q

Q4

Source

Volume

8

Issue

4

Start Page

975

End Page

997