Nearly equivalent operators

Sadoon Ibrahim Othman

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 2, page 133-141
  • ISSN: 0862-7959

Abstract

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The properties of the bounded linear operators T on a Hilbert space which satisfy the condition T T * = U * T * T U where U is unitary, are studied in relation to those of normal, hyponormal, quasinormal and subnormal operators.

How to cite

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Othman, Sadoon Ibrahim. "Nearly equivalent operators." Mathematica Bohemica 121.2 (1996): 133-141. <http://eudml.org/doc/247947>.

@article{Othman1996,
abstract = {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.},
author = {Othman, Sadoon Ibrahim},
journal = {Mathematica Bohemica},
keywords = {nearly normal operator; nearly hyponormal operator; nearly normal operator; nearly hyponormal operator},
language = {eng},
number = {2},
pages = {133-141},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nearly equivalent operators},
url = {http://eudml.org/doc/247947},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Othman, Sadoon Ibrahim
TI - Nearly equivalent operators
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 2
SP - 133
EP - 141
AB - 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.
LA - eng
KW - nearly normal operator; nearly hyponormal operator; nearly normal operator; nearly hyponormal operator
UR - http://eudml.org/doc/247947
ER -

References

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  1. A. Brown, 10.1090/S0002-9939-1953-0059483-2, Proc Amer. Math. Soc 4 (1953), 723-728. (1953) Zbl0051.34303MR0059483DOI10.1090/S0002-9939-1953-0059483-2
  2. J. B. Conway, Subnormal Operators, Pitman Publishing Inc., London, 1981. (1981) Zbl0474.47013MR0634507
  3. N. Dunford, J. Schwartz, Linear Operators, Part II, Interscience, New York, 1963. (1963) Zbl0128.34803MR0188745
  4. P. R. Halmos, Normal dilations and extensions of operators, Summa Brasil. Math. 2 (1950), 125-134. (1950) MR0044036
  5. V. I. Istrătescu, Introduction to Linear Operator Theory, Marcel Dekker, Inc., New York, 1981. (1981) MR0608969

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