ACTA issues

Some convergence theorems for multipliers on commutative Banach algebras

Heybetkulu Mustafayev

Acta Sci. Math. (Szeged) 84:3-4(2018), 673-685

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.)