Mathematica Bohemica, Vol. 144, No. 4, pp. 437-456, 2019
Regulated functions with values in Banach space
Dana Fraňková
Received September 2, 2019. Published online November 22, 2019.
Abstract: This paper deals with regulated functions having values in a Banach space. In particular, families of equiregulated functions are considered and criteria for relative compactness in the space of regulated functions are given.
Keywords: regulated function; bounded variation; function with values in a Banach space; $\varphi$-variation; relative compactness; equiregulated function
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Affiliations: Dana Fraňková, Zájezd 5, 27343, Czech Republic
