Strongly bounded variation functions in Krein spaces

Volume 36, Issue 2, pp 237--250 https://dx.doi.org/10.22436/jmcs.036.02.08
Publication Date: August 04, 2024 Submission Date: November 07, 2023 Revision Date: May 15, 2024 Accteptance Date: June 29, 2024

Authors

O‎. ‎F‎. ‎ Villar - University of Sucre‎. ‎Cra‎. ‎28\#5-26, ‎Red door‎, ‎Sincelejo, ‎Sucre, ‎Colombia. J. N. Martinez - Center for Basic Sciences‎, ‎School of Engineering and Architecture, ‎Pontifical Bolivarian University, ‎Monteria, ‎Colombia. ‎C‎. ‎G‎. ‎ Mestra - University of Sucre‎. ‎Cra‎. ‎28\#5-26, ‎Red door‎, ‎Sincelejo, ‎Sucre, ‎Colombia.


Abstract

‎In the present paper we introduce the notion of strongly bounded variation function in Krein spaces‎, ‎we show that the definition of bounded variation is independent of the decomposition of the Krein space ‎and the definition of bounded variation of a function in Hilbert spaces given in [V‎. ‎V‎. ‎Chistyakov‎, ‎J‎. ‎Dynam‎. ‎Control Syst.‎, \(‎\textbf{3}\) (1997)‎, ‎261--289]‎, ‎is a particular case of the one introduced in this paper‎. ‎We show a technique for constructing bounded variation functions on Krein spaces from bounded variation functions on the Hilbert subspaces composing the Krein space‎.


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ISRP Style

O‎. ‎F‎. ‎ Villar, J. N. Martinez, ‎C‎. ‎G‎. ‎ Mestra, Strongly bounded variation functions in Krein spaces, Journal of Mathematics and Computer Science, 36 (2025), no. 2, 237--250

AMA Style

Villar O‎. ‎F‎. ‎, Martinez J. N., Mestra ‎C‎. ‎G‎. ‎, Strongly bounded variation functions in Krein spaces. J Math Comput SCI-JM. (2025); 36(2):237--250

Chicago/Turabian Style

Villar, O‎. ‎F‎. ‎, Martinez, J. N., Mestra, ‎C‎. ‎G‎. ‎. "Strongly bounded variation functions in Krein spaces." Journal of Mathematics and Computer Science, 36, no. 2 (2025): 237--250


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