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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-2, author = {Sch\^oichi \^Ota}, title = {q-deformed circularity for an unbounded operator in Hilbert space}, journal = {Colloquium Mathematicae}, volume = {120}, year = {2010}, pages = {191-199}, zbl = {1222.47032}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-2} }
Schôichi Ôta. q-deformed circularity for an unbounded operator in Hilbert space. Colloquium Mathematicae, Tome 120 (2010) pp. 191-199. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-2/