| Title:
|
Regulated functions with values in Banach space (English) |
| Author:
|
Fraňková, Dana |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
144 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
437-456 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
regulated function |
| Keyword:
|
bounded variation |
| Keyword:
|
function with values in a Banach space |
| Keyword:
|
$\varphi $-variation |
| Keyword:
|
relative compactness |
| Keyword:
|
equiregulated function |
| MSC:
|
26A45 |
| MSC:
|
46E40 |
| idZBL:
|
07217264 |
| idMR:
|
MR4047346 |
| DOI:
|
10.21136/MB.2019.0124-19 |
| . |
| Date available:
|
2019-12-09T11:54:39Z |
| Last updated:
|
2020-08-14 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147937 |
| . |
| Reference:
|
[1] Brokate, M., Krejčí, P.: Duality in the space of regulated functions and the play operator.Math. Z. 245 (2003), 667-688. Zbl 1055.46023, MR 2020705, 10.1007/s00209-003-0563-6 |
| Reference:
|
[2] Fraňková, D.: Regulated functions.Math. Bohem. 116 (1991), 20-59. Zbl 0724.26009, MR 1100424 |
| Reference:
|
[3] 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). Zbl 0307.45002, MR 0499969 |
| Reference:
|
[4] Rudin, W.: Principles of Mathematical Analysis.McGraw-Hill, New York (1964). Zbl 0148.02903, MR 0166310 |
| Reference:
|
[5] Schwabik, Š.: Linear Stieltjes integral equations in Banach spaces.Math. Bohem. 124 (1999), 433-457. Zbl 0937.34047, MR 1722877, 10.21136/MB.1999.125994 |
| . |
