Strongly bounded variation functions in Krein spaces
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.
Share and Cite
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
Keywords
- Indefinite metric
- Krein space
- bounded variation
- negative variation
MSC
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