The Behavior of Iterates of Multipliers in Commutative Banach Algebras
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Polish Acad Sciences inst Mathematics-impan
Abstract
Let A be a complex, commutative, and semisimple Banach algebra and let T be a power bounded multiplier on A. We prove a Katznelson-Tzafriri type theorem for T. As an application, we give some results concerning convergence of the sequence {T(n)a} (a is an element of A). Some related problems are also discussed.
Description
Keywords
Commutative Banach Algebra, Multiplier, Locally Compact Abelian Group, Group Algebra, Measure Algebra, Convergence
Turkish CoHE Thesis Center URL
WoS Q
Q4
Scopus Q
Q3
Source
Volume
128
Issue
3
Start Page
233
End Page
247
