What is it about?
we study the properties of the multiplication operator acting on the bounded variation space in the interval [0,1]. We show the existence of non-null compact multiplication operators on he bounded variation space in the interval [0,1] and non-invertible Fredholm multiplication operators on he bounded variation space in the interval [0,1].
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Why is it important?
The main goal of this article is to make an exhaustive study of the properties of multiplication operator Mu acting on the space
Perspectives
We hope it is the start to a long study of the multiplication operator in different spaces of bounded variation.
franklin astudillo-villalba
Universidad de Oriente
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This page is a summary of: Multiplication operators on the space of functions of bounded variation, Demonstratio Mathematica, April 2017, De Gruyter,
DOI: 10.1515/dema-2017-0012.
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