| Title:
|
Linear operators in the space of regulated functions (English) |
| Author:
|
Schwabik, Štefan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
1 |
| Year:
|
1992 |
| Pages:
|
79-92 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Representation of bounded and compact linear operators in the Banach space of regulated functions is given in terms of Perron-Stieltjes integral. (English) |
| Keyword:
|
space of all regulated functions |
| Keyword:
|
integral representations for the bounded and compact linear operations |
| Keyword:
|
regulated function |
| Keyword:
|
compact operator |
| MSC:
|
26A15 |
| MSC:
|
26A39 |
| MSC:
|
26A42 |
| MSC:
|
28A25 |
| MSC:
|
46E99 |
| MSC:
|
47B07 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 0790.47023 |
| idMR:
|
MR1154057 |
| DOI:
|
10.21136/MB.1992.126231 |
| . |
| Date available:
|
2009-09-24T20:50:15Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126231 |
| . |
| Reference:
|
[1] Ch. S. Hönig: Volterra-Stieltjes integral equations.North-Holland, Amsterdam, 1975. MR 0499969 |
| Reference:
|
[2] M. Tvrdý: Regulated functions and the Perron-Stieltjes integral.Časopis pěst. mat. 114 (1989), 187-209. MR 1063765 |
| . |
