Notes on q-deformed operators

Schôichi Ôta; Franciszek Hugon Szafraniec

Studia Mathematica (2004)

  • Volume: 165, Issue: 3, page 295-301
  • ISSN: 0039-3223

Abstract

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The paper concerns operators of deformed structure like q-normal and q-hyponormal operators with the deformation parameter q being a positive number different from 1. In particular, an example of a q-hyponormal operator with empty spectrum is given, and q-hyponormality is characterized in terms of some operator inequalities.

How to cite

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Schôichi Ôta, and Franciszek Hugon Szafraniec. "Notes on q-deformed operators." Studia Mathematica 165.3 (2004): 295-301. <http://eudml.org/doc/284388>.

@article{SchôichiÔta2004,
abstract = {The paper concerns operators of deformed structure like q-normal and q-hyponormal operators with the deformation parameter q being a positive number different from 1. In particular, an example of a q-hyponormal operator with empty spectrum is given, and q-hyponormality is characterized in terms of some operator inequalities.},
author = {Schôichi Ôta, Franciszek Hugon Szafraniec},
journal = {Studia Mathematica},
keywords = {-deformed operator; -normal operator; -hyponormal operator; direct sum; operator inequality},
language = {eng},
number = {3},
pages = {295-301},
title = {Notes on q-deformed operators},
url = {http://eudml.org/doc/284388},
volume = {165},
year = {2004},
}

TY - JOUR
AU - Schôichi Ôta
AU - Franciszek Hugon Szafraniec
TI - Notes on q-deformed operators
JO - Studia Mathematica
PY - 2004
VL - 165
IS - 3
SP - 295
EP - 301
AB - The paper concerns operators of deformed structure like q-normal and q-hyponormal operators with the deformation parameter q being a positive number different from 1. In particular, an example of a q-hyponormal operator with empty spectrum is given, and q-hyponormality is characterized in terms of some operator inequalities.
LA - eng
KW - -deformed operator; -normal operator; -hyponormal operator; direct sum; operator inequality
UR - http://eudml.org/doc/284388
ER -

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