| Title:
|
On commuting isometries (English) |
| Author:
|
Horák, Karel |
| Author:
|
Müller, Vladimír |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
373-382 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A25 |
| MSC:
|
47A15 |
| MSC:
|
47B20 |
| MSC:
|
47D25 |
| MSC:
|
47L30 |
| idZBL:
|
Zbl 0811.47040 |
| idMR:
|
MR1211759 |
| DOI:
|
10.21136/CMJ.1993.128406 |
| . |
| Date available:
|
2009-09-24T09:31:13Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128406 |
| . |
| Reference:
|
[1] W. Arveson: An invitation to $C$*-algebra.Springer-Verlag, New York-Heidelberg-Berlin, 1976. MR 0512360 |
| Reference:
|
[2] J. A. Deddens: Every isometry is reflexive.Proc. Amer. Math. Soc. 28 (1971), 509–512. Zbl 0213.14304, MR 0278099, 10.1090/S0002-9939-1971-0278099-7 |
| Reference:
|
[3] J. Dixmier: Les Algèbres d’opérateurs dans l’espace Hilbertien.Gauthier-Villars, Paris, 1957. Zbl 0088.32304, MR 0094722 |
| Reference:
|
[4] K. Horák and V. Müller: Functional model for commuting isometries.Czech. J. Math. 39 (1989), 370–379. MR 0992140 |
| Reference:
|
[5] R. F. Olin and J. E. Thomson: Algebras of subnormal operators.J. Funct. Anal., 37 (1980), 271–301. MR 0581424, 10.1016/0022-1236(80)90045-2 |
| Reference:
|
[6] M. Ptak: On the reflexivity of pairs of isometries and of tensor products of some operator algebras.Studia Math. 83 (1986), 47–55. MR 0829898, 10.4064/sm-83-1-57-95 |
| Reference:
|
[7] M. Ptak: Reflexivity of pairs of shifts.Proc. Amer. Math. Soc. 109 (1990), 409–415. Zbl 0734.47023, MR 1007510, 10.1090/S0002-9939-1990-1007510-0 |
| Reference:
|
[8] H. Radjavi and P. Rosenthal: Invariant Subspaces.(1973), Springer-Verlag, New York-Heidelberg-Berlin. MR 0367682 |
| Reference:
|
[9] D. Sarason: Invariant subspaces and unstarred operator algebras.Pacific J. Math. 17 (1966), 511–517. Zbl 0171.33703, MR 0192365, 10.2140/pjm.1966.17.511 |
| Reference:
|
[10] I. E. Segal: Decompositions of operator algebras, I and II.Memoirs of the AMS, No. 9, 1951. MR 0044749 |
| Reference:
|
[11] W. R. Wogen: Quasinormal operators are reflexive.Bull. London Math. Soc. 11 (1979), 19–22. Zbl 0415.47016, MR 0535790 |
| Reference:
|
[12] M. Zajac: Hyperreflexivity of isometries and weak contractions.J. Oper. Th. (to appear). |
| . |
