In this paper, we introduce the angular cutting and the generalized polar symbols of a p-hyponormal operator T in the case where U of the polar decomposition T = U|T| is not unitary and study spectral properties of it.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-11, author = {Muneo Ch\=o and Tadasi Huruya and K\^otar\^o Tanahashi}, title = {Unitary dilation for polar decompositions of p-hyponormal operators}, journal = {Banach Center Publications}, volume = {68}, year = {2005}, pages = {139-144}, zbl = {1085.47026}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-11} }
Muneo Chō; Tadasi Huruya; Kôtarô Tanahashi. Unitary dilation for polar decompositions of p-hyponormal operators. Banach Center Publications, Tome 68 (2005) pp. 139-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-11/