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
Keywords: regulated function; bounded variation; function with values in a Banach space; $\varphi $-variation; relative compactness; equiregulated function
@article{10_21136_MB_2019_0124_19,
author = {Fra\v{n}kov\'a, Dana},
title = {Regulated functions with values in {Banach} space},
journal = {Mathematica Bohemica},
pages = {437--456},
publisher = {mathdoc},
volume = {144},
number = {4},
year = {2019},
doi = {10.21136/MB.2019.0124-19},
mrnumber = {4047346},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0124-19/}
}
TY - JOUR AU - Fraňková, Dana TI - Regulated functions with values in Banach space JO - Mathematica Bohemica PY - 2019 SP - 437 EP - 456 VL - 144 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0124-19/ DO - 10.21136/MB.2019.0124-19 LA - en ID - 10_21136_MB_2019_0124_19 ER -
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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