2 papers
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…