Geodesic
Regulated functions with values in Banach space
Mathematica Bohemica, Tome 144 (2019) no. 4, pp. 437-456.

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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.
DOI : 10.21136/MB.2019.0124-19
Classification : 26A45, 46E40
Keywords: regulated function; bounded variation; function with values in a Banach space; $\varphi $-variation; relative compactness; equiregulated function 
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Fraňková, Dana. Regulated functions with values in Banach space. Mathematica Bohemica, Tome 144 (2019) no. 4, pp. 437-456. doi : 10.21136/MB.2019.0124-19. http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0124-19/

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