Properties of multiplication operators on the space of functions of bounded φ-variation

Properties of multiplication operators on the space of functions of bounded φ-variation

In this paper, the functions which define compact and Fredholm multiplication operators acting on the space of functions of bounded -variation are studied. All the functions which define multiplication operators with closed range are characterized.

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2021-06, Vol.19 (1), p.492-504
Hauptverfasser: Castillo, René E., Ramos-Fernández, Julio C., Vacca-González, Harold
Format: Artikel
Sprache:eng
Schlagworte:
26A45
26B30
46E40
47B38
bounded variation functions
compact operators
Fredholm operators
Multiplication
multiplication operator
Operators
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Beschreibung
Zusammenfassung:In this paper, the functions which define compact and Fredholm multiplication operators acting on the space of functions of bounded -variation are studied. All the functions which define multiplication operators with closed range are characterized.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0050