q-deformed circularity for an unbounded operator in Hilbert space

Schôichi Ôta

Colloquium Mathematicae (2010)

  • Volume: 120, Issue: 2, page 191-199
  • ISSN: 0010-1354

Abstract

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The notion of strong circularity for an unbounded operator is introduced and studied. Moreover, q-deformed circularity as a q-analogue of circularity is characterized in terms of the partially isometric and the positive parts of the polar decomposition.

How to cite

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Schôichi Ôta. "q-deformed circularity for an unbounded operator in Hilbert space." Colloquium Mathematicae 120.2 (2010): 191-199. <http://eudml.org/doc/283707>.

@article{SchôichiÔta2010,
abstract = {The notion of strong circularity for an unbounded operator is introduced and studied. Moreover, q-deformed circularity as a q-analogue of circularity is characterized in terms of the partially isometric and the positive parts of the polar decomposition.},
author = {Schôichi Ôta},
journal = {Colloquium Mathematicae},
keywords = {unbounded operator; circularity; q-normal operator; q-deformed circular operator; weighted shift},
language = {eng},
number = {2},
pages = {191-199},
title = {q-deformed circularity for an unbounded operator in Hilbert space},
url = {http://eudml.org/doc/283707},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Schôichi Ôta
TI - q-deformed circularity for an unbounded operator in Hilbert space
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 2
SP - 191
EP - 199
AB - The notion of strong circularity for an unbounded operator is introduced and studied. Moreover, q-deformed circularity as a q-analogue of circularity is characterized in terms of the partially isometric and the positive parts of the polar decomposition.
LA - eng
KW - unbounded operator; circularity; q-normal operator; q-deformed circular operator; weighted shift
UR - http://eudml.org/doc/283707
ER -

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