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On a decomposition for pairs of commuting contractions
by
Zbigniew Burdak
Agricultural University in Krakow, Poland
Our aim is to present some result on a decomposition of a pair of operators. More precisely, there are known decompositions of single operators of some classes like decopmosition of a contraction (Langer, Nagy, Foias), a isometry (Wold) or a power partial isometriy (Halmos, Wallen). For a pair of operators a (joint) decomposition of this type becomes much more complicated (even in case of isometries.) In the presented talk a new decomposition of a pair of commuting, but not necessarily doubly commuting contractions will be proposed. In the case of power partial isometries a more detailed decomposition will be given.
References
[Bu] Burdak Z., On a decomposition for pairs of commuting contractions, Studia Math. 181 (1) (2007), 33-45.
Date received: May 24, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawh-57.