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Abstract. Let $A$ be a complex commutative semisimple Banach algebra and let $T$ be a power bounded multiplier of $A$. This paper is concerned with finding necessary and sufficient conditions for the convergence of the sequence $\left\{ T^{n}a\right\} $ $( a\in A) $ in $A.$ Some related problems are also discussed.
DOI: 10.14232/actasm-017-291-5
AMS Subject Classification
(1991): 46HXX, 43A20, 43A22
Keyword(s):
commutative Banach algebra,
multiplier,
set of synthesis,
convergence
Received June 23, 2017, and in revised form December 6, 2017. (Registered under 41/2017.)
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