Regulated functions
Mathematica Bohemica (1991)
- Volume: 116, Issue: 1, page 20-59
- ISSN: 0862-7959
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topFraňková, Dana. "Regulated functions." Mathematica Bohemica 116.1 (1991): 20-59. <http://eudml.org/doc/29349>.
@article{Fraňková1991,
abstract = {The first section consists of auxiliary results about nondecreasing real functions. In the second section a new characterization of relatively compact sets of regulated functions in the sup-norm topology is brought, and the third section includes, among others, an analogue of Helly's Choice Theorem in the space of regulated functions.},
author = {Fraňková, Dana},
journal = {Mathematica Bohemica},
keywords = {regulated functions; linear prolongation along an increasing function; analogue of Helley's principle of choice theorem; Banach space; analogue of Helley's principle of choice theorem; regulated functions; Banach space},
language = {eng},
number = {1},
pages = {20-59},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Regulated functions},
url = {http://eudml.org/doc/29349},
volume = {116},
year = {1991},
}
TY - JOUR
AU - Fraňková, Dana
TI - Regulated functions
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 1
SP - 20
EP - 59
AB - The first section consists of auxiliary results about nondecreasing real functions. In the second section a new characterization of relatively compact sets of regulated functions in the sup-norm topology is brought, and the third section includes, among others, an analogue of Helly's Choice Theorem in the space of regulated functions.
LA - eng
KW - regulated functions; linear prolongation along an increasing function; analogue of Helley's principle of choice theorem; Banach space; analogue of Helley's principle of choice theorem; regulated functions; Banach space
UR - http://eudml.org/doc/29349
ER -
References
top- G. Aumann, Reelle Funktionen, Springer-Verlag, Berlin, Heidelberg, New York 1969. (1969) Zbl0181.05801MR0061652
- I. I. Gichman A. V. Skorochod, Theory of Stochastic Processes, (Russian). Nauka, Moskva 1971. (1971)
- Ch. S. Hönig, Volterra-Stieltjes-Integral equations, North Holland, American Elsevier 1975. (1975) MR0499969
- Ch. S. Hönig, Equations integrales generalisées et aplications, Publications mathématiques d'Orsay, Orsay 1982. (1982) MR0697399
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