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.
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

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