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math.FA2025
Functions of bounded variation arising from a generalized two-normed space
Osmin Ferrer, Kandy Ferrer, Jaffeth Cure
The first formal development of functions with bounded variation in normed spaces is attributed to Chistyakov [5], and was later extended to the context of 2-normed spaces by Cure,…
math.FA2025
Construction of Spaces with an Indefinite two-Metric and Applications
Osmin Ferrer, Kandy Ferrer, Jaffeth Cure
In this work, we introduce the notion of a two-Krein space and show that, starting from any classical Krein space, it is possible to construct spaces endowed with an indefinite two…
math.FA2014
Construction, Extension and Coupling of Frames on Finite Dimensional Pontryagin Space
German Escobar, Kevin Esmeral, Osmin Ferrer
In this paper we extend to finite-dimensional Pontryagin spaces the methods used in \cite{CasazzaLeon,Deguang} to build frames from an adjoint and positive operator. It is proved t…