| Title:
|
On the structure of commuting isometries (English) |
| Author:
|
Horák, Karel |
| Author:
|
Müller, Vladimír |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
28 |
| Issue:
|
1 |
| Year:
|
1987 |
| Pages:
|
165-171 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47A65 |
| MSC:
|
47B37 |
| MSC:
|
47B99 |
| MSC:
|
47D03 |
| MSC:
|
47D05 |
| idZBL:
|
Zbl 0619.47014 |
| idMR:
|
MR889778 |
| . |
| Date available:
|
2008-06-05T21:28:01Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106519 |
| . |
| Reference:
|
[1] D. GAŞPAR 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. GAŞPAR 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 apace and the theory of spectral multiplicity.Chelsea Publishing Comp. New York, 1951. MR 0045309 |
| Reference:
|
[4] P. R. HALMOS: Shifts on Hilbert spaces.J. reine und angew. Math. 208 (1961), 102-112. Zbl 0107.09802, MR 0152896 |
| Reference:
|
[5] H. HELSON: Lectures on invariant subspaces.Academic Press, New York and London, 1964. Zbl 0119.11303, MR 0171178 |
| Reference:
|
[6] H. HELSON D. LOWDENSLAGER: Prediction theory and Fourier series, in several variables II.Acta Math. 106 (1961), 175-213. MR 0176287 |
| Reference:
|
[7] O. KALLIAMPUR V. MANDREKAR: Nondeterministic random fields and Wold and Halmoa decompositions for commuting isometries.Prediction Theory and Harmonic Analysis, North Holland Publ. Comp., 1983, 165-190. MR 0708524 |
| Reference:
|
[8] M. KOSIEK: Lebesgue-type decompositions of a pair of commuting Hilbert space operators.Bull. Acad. Polon. Sci., Ser. Math. 27 (1979), 583-589. Zbl 0462.47015, MR 0581556 |
| Reference:
|
[9] P. S. MUHLY: A structure theory for isometric representations of a class of semigroups.J. Reine und angew. Math. 225 (1972), 135-154. Zbl 0244.47030, MR 0390804 |
| Reference:
|
[10] M. SLOCIŃSKI: On the Wold-type decomposition of a pair of commuting isometries.Annales Polonici Math. 37 (1980), 255-262. MR 0587496 |
| Reference:
|
[11] M. SLOCIŃSKI: Models of commuting contractions and isometries.Report of the 11th Conference on Operator Theory Bucharest 1986 (to appear). |
| Reference:
|
[12] I. SUCIU: On the semigroups of isometries.Studia Math. 30 (1968), 101-110. MR 0229093 |
| . |
