A new decomposition of a pair of commuting, but not necessarily doubly commuting contractions is proposed. In the case of power partial isometries a more detailed decomposition is given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm181-1-3, author = {Zbigniew Burdak}, title = {On a decomposition for pairs of commuting contractions}, journal = {Studia Mathematica}, volume = {178}, year = {2007}, pages = {33-45}, zbl = {1129.47004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm181-1-3} }
Zbigniew Burdak. On a decomposition for pairs of commuting contractions. Studia Mathematica, Tome 178 (2007) pp. 33-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm181-1-3/