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/