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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access May 24, 2017

Multiplication operators on the space of functions of bounded variation

  • Franklin R. Astudillo-Villalba and Julio C. Ramos-Fernández EMAIL logo
From the journal Demonstratio Mathematica

Abstract

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].

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Received: 2015-09-28
Accepted: 2016-02-09
Published Online: 2017-05-24
Published in Print: 2017-04-25

© 2017 Franklin R. Astudillo-Villalba and Julio C. Ramos-Fernández

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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