The form of locally defined operators in Waterman spaces

Authors

  • Małgorzata Wróbel Czestochowa University of Technology

DOI:

https://doi.org/10.1515/ms-2021-0069

Keywords:

locally defined operator, Nemytskij composition operator, Waterman type variation, continuous function, locally bounded operator, uniformly bounded operator

Abstract

A representation formula for locally defined operators acting between Banach spaces of continuous functions of bounded variation in the Waterman sense is presented. Moreover, the Nemytskij composition operators will be investigated and some consequences for locally bounded as well as uniformly bounded local operators will be given.

Author Biography

  • Małgorzata Wróbel, Czestochowa University of Technology

    Department of Mathematics
    Czestochowa University of Technology
    al. Armii Krajowej 21
    PL 42-200 Czȩstochowa
    POLAND

Published

2021-12-10

Issue

Vol. 71 No. 6 (2021): Mathematica Slovaca

Section

Articles - Other topics