The Banach Algebra of Bounded Φ-Variation Functions on Compact Subsets of C

Authors

Mireya R. Bracamonte, Escuela Superior Polite ́cnica del Litoral, ESPOL, Facultad de Ciencias Naturanes y Matema ́ticas, Campus Gustavo Galindo Km. 30.5 V ́ıa Perimetral, P.O. Box 09-01-5863, Guayaquil, EcuadorFollow
Jurancy J. Ereu ́, Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias y Tecnolog ́ıa,Barquisimeto, VenezuelaFollow
Luz E. Marchan M., Escuela Superior Polite ́cnica del Litoral, ESPOL, Facultad de Ciencias Naturanes y Matema ́ticas, Campus Gustavo Galindo Km. 30.5 V ́ıa Perimetral, P.O. Box 09-01-5863, Guayaquil, EcuadorFollow

Author Country (or Countries)

Ecuador

Abstract

A concept of generalized bounded Φ−variation for complex-valued functions is introduced. We prove that the space of functions of this kind is a Banach algebra with respect to pointwise multiplication. Previously, its properties were shown and the Minkowski functional was used to provide this class of functions with a norm that makes it a Banach space. In addition, some maximal ideals are described.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150202

Recommended Citation

R. Bracamonte, Mireya; J. Ereu ́, Jurancy; and E. Marchan M., Luz (2021) "The Banach Algebra of Bounded Φ-Variation Functions on Compact Subsets of C," Applied Mathematics & Information Sciences: Vol. 15: Iss. 2, Article 2.
DOI: http://dx.doi.org/10.18576/amis/150202
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss2/2