| Title:
|
Functional model for commuting isometries (English) |
| Author:
|
Horák, Karel |
| Author:
|
Müller, Vladimír |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
1989 |
| Pages:
|
370-379 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47A45 |
| MSC:
|
47A67 |
| MSC:
|
47D05 |
| idZBL:
|
Zbl 0693.47013 |
| idMR:
|
MR992140 |
| DOI:
|
10.21136/CMJ.1989.102308 |
| . |
| Date available:
|
2008-06-09T15:27:28Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102308 |
| . |
| Reference:
|
[1] D. Gaspar N. Suciu: On the structure of isometric semigroups.Operator Theory: Adv. and Appl. 14, Birkhäuser Verlag Basel, 1984, 125-139. MR 0789613 |
| Reference:
|
[2] D. Gaspar N. Suciu: Intertwinings of isometric semigroups and Wold type decompositions.Sem. de operatori liniari si analiză armonică, No. 3, 1985. |
| Reference:
|
[3] P. R. Halmos: Introduction to Hilbert space and the theory of spectral multiplicity.Chelsea Publishing Comp. New York, 1951. Zbl 0045.05702, MR 0045309 |
| Reference:
|
[4] P. R. Halmos: Measure Theory.New York, 1950. Zbl 0040.16802, MR 0033869 |
| Reference:
|
[5] H. Helson D. Lowdenslager: Prediction theory and Fourier series in several variables II.Acta Math. 106 (1961), 175-213. MR 0176287, 10.1007/BF02545786 |
| Reference:
|
[6] K. Horák V. Müller: On the structure of commuting isometries.CMUC 28 (1987), 165-171. MR 0889778 |
| Reference:
|
[7] G. Kalliampur V. Mandrekar: Nondeterministic random fields and Wold and Halmos decompositions for commuting isometries.Prediction Theory and Harmonic Analysis, North Holland Publ. Comp., 1983, 165-190. MR 0708524 |
| Reference:
|
[8] M. Slociński: On the Wold-type decomposition of a pair of commuting isometries.Annales Polonici Math. 37 (1980), 255-262. MR 0587496, 10.4064/ap-37-3-255-262 |
| Reference:
|
[9] M. Slociński: Models of commuting contractions and isometries.Report of the 11th Conference on Operator Theory Bucharest 1986 (to appear). |
| Reference:
|
[10] I. Suciu: On the semigroups of isometries.Studia Math. 30. MR 0229093 |
| . |
