Article
Full entry |
PDF
(0.5 MB)
Feedback
PDF
(0.5 MB)
Feedback
Keywords:
nearly normal operator; nearly hyponormal operator
nearly normal operator; nearly hyponormal operator
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.
References:
[1] A. Brown: On a class of operators. Proc Amer. Math. Soc 4 (1953), 723-728. DOI 10.1090/S0002-9939-1953-0059483-2 | MR 0059483 | Zbl 0051.34303
[2] J. B. Conway: Subnormal Operators. Pitman Publishing Inc., London, 1981. MR 0634507 | Zbl 0474.47013
[3] N. Dunford, J. Schwartz: Linear Operators, Part II. Interscience, New York, 1963. MR 0188745 | Zbl 0128.34803
[4] P. R. Halmos: Normal dilations and extensions of operators. Summa Brasil. Math. 2 (1950), 125-134. MR 0044036
[5] V. I. Istrătescu: Introduction to Linear Operator Theory. Marcel Dekker, Inc., New York, 1981. MR 0608969
Search
Partner of
