| Title:
|
Regulated functions (English) |
| Author:
|
Fraňková, Dana |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
116 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
20-59 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
regulated functions |
| Keyword:
|
linear prolongation along an increasing function |
| Keyword:
|
analogue of Helley's principle of choice theorem |
| Keyword:
|
Banach space |
| MSC:
|
26A45 |
| MSC:
|
27A45 |
| MSC:
|
46E15 |
| MSC:
|
46E99 |
| idZBL:
|
Zbl 0724.26009 |
| idMR:
|
MR1100424 |
| DOI:
|
10.21136/MB.1991.126195 |
| . |
| Date available:
|
2009-09-24T20:42:57Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126195 |
| . |
| Reference:
|
[1] G. Aumann: Reelle Funktionen.Springer-Verlag, Berlin, Heidelberg, New York 1969. Zbl 0181.05801, MR 0061652 |
| Reference:
|
[2] I. I. Gichman A. V. Skorochod: Theory of Stochastic Processes.(Russian). Nauka, Moskva 1971. |
| Reference:
|
[3] Ch. S. Hönig: Volterra-Stieltjes-Integral equations.North Holland, American Elsevier 1975. MR 0499969 |
| Reference:
|
[4] Ch. S. Hönig: Equations integrales generalisées et aplications.Publications mathématiques d'Orsay, Orsay 1982. MR 0697399 |
| . |
