| Title:
|
Nearly equivalent operators (English) |
| Author:
|
Othman, Sadoon Ibrahim |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
133-141 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The properties of the bounded linear operators $T $ on a Hilbert space which satisfy the condition $TT^*= U^*T^*TU $ where $U$ is unitary, are studied in relation to those of normal, hyponormal, quasinormal and subnormal operators. (English) |
| Keyword:
|
nearly normal operator |
| Keyword:
|
nearly hyponormal operator |
| MSC:
|
47B20 |
| idZBL:
|
Zbl 0863.47016 |
| idMR:
|
MR1400605 |
| DOI:
|
10.21136/MB.1996.126110 |
| . |
| Date available:
|
2009-09-24T21:17:23Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126110 |
| . |
| Reference:
|
[1] A. Brown: On a class of operators.Proc Amer. Math. Soc 4 (1953), 723-728. Zbl 0051.34303, MR 0059483, 10.1090/S0002-9939-1953-0059483-2 |
| Reference:
|
[2] J. B. Conway: Subnormal Operators.Pitman Publishing Inc., London, 1981. Zbl 0474.47013, MR 0634507 |
| Reference:
|
[3] N. Dunford, J. Schwartz: Linear Operators, Part II.Interscience, New York, 1963. Zbl 0128.34803, MR 0188745 |
| Reference:
|
[4] P. R. Halmos: Normal dilations and extensions of operators.Summa Brasil. Math. 2 (1950), 125-134. MR 0044036 |
| Reference:
|
[5] V. I. Istrătescu: Introduction to Linear Operator Theory.Marcel Dekker, Inc., New York, 1981. MR 0608969 |
| . |
