Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 13 (2018), 121 -- 129

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n-JORDAN MULTIPLIERS

Mohammad Fozouni

Abstract. Let A be a Banach algebra, X be a Banach left A-module and n ≥ 2 be an integer. A bounded linear operator T: A → X is called an n-Jordan multiplier if for each a ∈ A, T(an)=a· T(an-1). In this paper we investigate this notion and give some illuminating examples. Also, we give an approximate local version of n-Jordan multipliers and try to investigate when an approximate local n-Jordan multiplier is an n-Jordan multiplier. Finally, for functional Banach algebras we give a characterization of n-Jordan multipliers.

2010 Mathematics Subject Classification: 46H05; 42A45
Keywords: Banach algebra; Banach module; multiplier; Jordan multiplier

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Mohammad Fozouni
Department of Mathematics and Statistics
Faculty of Basic Sciences & Engineering,
Gonbad Kavous University, Golestan, Iran.
E-mail: fozouni@gonbad.ac.ir
http://profs.gonbad.ac.ir/fozouni/en

http://www.utgjiu.ro/math/sma