$q$-deformed circularity for an unbounded operator in Hilbert space
Volume 120 / 2010
Colloquium Mathematicum 120 (2010), 191-199
MSC: Primary 47A05; Secondary 47B25, 81R50.
DOI: 10.4064/cm120-2-2
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.
