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Multiplication operators on the Banach algebra of bounded Φ-variation functions on compact subsets of ℂ

Bracamonte Mireya, Ereú Jurancy, Marchan Luz

Demonstratio Mathematica

2022

Vol. 55, nr 1

760--771

Let AΦ(K) be the Banach algebra of bounded Φ -variation functions defined on a compact set K in the complex plane, h a function defined on K, and Mh a multiplication operator induced by h. In this article, we determine the conditions that h must satisfy for Mh to be an operator that has closed range, finite rank or is compact. We also characterize the conditions that h must satisfy for Mh to be a Fredholm operator.

Multiplication operators on the space of functions of bounded variation

Astudillo-Villalba F. R., Ramos-Fernández J. C.

Demonstratio Mathematica

2017

Vol. 50, nr 1

105--115

In this paper, we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular, we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication operators on BV[0, 1].

Multiplication operators on Cesàro sequence spaces

Komal B. S., Pandoh S., Raj K.

Demonstratio Mathematica

2016

Vol. 49, nr 4

430--436

In this paper we characterize the compact, invertible and Fredholm multiplication operators on Cesàro sequence spaces.