| Title:
|
Centered weighted composition operators via measure theory (English) |
| Author:
|
Jabbarzadeh, Mohammad Reza |
| Author:
|
Jafari Bakhshkandi, Mehri |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
143 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
123-134 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe the centered weighted composition operators on $L^2(\Sigma )$ in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert's theorem on centered composition operators. (English) |
| Keyword:
|
Aluthge transform |
| Keyword:
|
Moore-Penrose inverse |
| Keyword:
|
weighted composition operator |
| Keyword:
|
conditional expectation |
| Keyword:
|
centered operator |
| MSC:
|
47B20 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 06890410 |
| idMR:
|
MR3831482 |
| DOI:
|
10.21136/MB.2017.0080-16 |
| . |
| Date available:
|
2018-06-11T11:00:00Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147240 |
| . |
| Reference:
|
[1] Caradus, S. R.: Generalized Inverses and Operator Theory.Queen's Pap. Pure Appl. Math. 50. Queen's University, Kingston, Ontario (1978). Zbl 0434.47003, MR 0523736 |
| Reference:
|
[2] Embry-Wardrop, M., Lambert, A.: Measurable transformations and centred composition operators.Proc. R. Ir. Acad., Sect. A 90 (1990), 165-172. Zbl 0753.47011, MR 1150455 |
| Reference:
|
[3] Embry-Wardrop, M., Lambert, A.: Subnormality for the adjoint of a composition operator on $L^2$.J. Oper. Theory 25 (1991), 309-318. Zbl 0795.47022, MR 1203036 |
| Reference:
|
[4] Giselsson, O.: Half-centered operators.Online https://arxiv.org/pdf/1602.05081v1.pdf 44 pages. |
| Reference:
|
[5] Hoover, T., Lambert, A., Quinn, J.: The Markov process determined by a weighted composition operator.Stud. Math. 72 (1982), 225-235. Zbl 0503.47007, MR 0671398, 10.4064/sm-72-3-225-236 |
| Reference:
|
[6] Lambert, A.: Hyponormal composition operators.Bull. Lond. Math. Soc. 18 (1986), 395-400. Zbl 0624.47014, MR 0838810, 10.1112/blms/18.4.395 |
| Reference:
|
[7] Morrel, B. B., Muhly, P. S.: Centered operators.Studia Math. 51 (1974), 251-263. Zbl 0258.47019, MR 0355658, 10.4064/sm-51-3-251-263 |
| Reference:
|
[8] Singh, R. K., Komal, B. S.: Composition operators.Bull. Aust. Math. Soc. 18 (1978), 439-446. Zbl 0377.47029, MR 0508815, 10.1017/S0004972700008303 |
| Reference:
|
[9] Singh, R. K., Manhas, J. S.: Composition Operators on Function Spaces.North-Holland Mathematics Studies 179. North-Holland Publishing, Amsterdam (1993). Zbl 0788.47021, MR 1246562, 10.1016/s0304-0208(08)x7086-0 |
| . |
