Regulated functions with values in Banach space
Mathematica Bohemica (2019)
- Volume: 144, Issue: 4, page 437-456
- ISSN: 0862-7959
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topFraňková, Dana. "Regulated functions with values in Banach space." Mathematica Bohemica 144.4 (2019): 437-456. <http://eudml.org/doc/294311>.
@article{Fraňková2019,
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.},
author = {Fraňková, Dana},
journal = {Mathematica Bohemica},
keywords = {regulated function; bounded variation; function with values in a Banach space; $\varphi $-variation; relative compactness; equiregulated function},
language = {eng},
number = {4},
pages = {437-456},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Regulated functions with values in Banach space},
url = {http://eudml.org/doc/294311},
volume = {144},
year = {2019},
}
TY - JOUR
AU - Fraňková, Dana
TI - Regulated functions with values in Banach space
JO - Mathematica Bohemica
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 144
IS - 4
SP - 437
EP - 456
AB - 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.
LA - eng
KW - regulated function; bounded variation; function with values in a Banach space; $\varphi $-variation; relative compactness; equiregulated function
UR - http://eudml.org/doc/294311
ER -
References
top- Brokate, M., Krejčí, P., 10.1007/s00209-003-0563-6, Math. Z. 245 (2003), 667-688. (2003) Zbl1055.46023MR2020705DOI10.1007/s00209-003-0563-6
- Fraňková, D., Regulated functions, Math. Bohem. 116 (1991), 20-59. (1991) Zbl0724.26009MR1100424
- Hönig, C. S., Volterra-Stieltjes Integral Equations. Functional Analytic Methods; Linear Constraints, North-Holland Mathematics Studies 16. Notas de Mathematica (56), North-Holland Publishing Company, Amsterdam-Oxford; American Elsevier Publishing Company, New York (1975). (1975) Zbl0307.45002MR0499969
- Rudin, W., Principles of Mathematical Analysis, McGraw-Hill, New York (1964). (1964) Zbl0148.02903MR0166310
- Schwabik, Š., 10.21136/MB.1999.125994, Math. Bohem. 124 (1999), 433-457. (1999) Zbl0937.34047MR1722877DOI10.21136/MB.1999.125994
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