The classical Wold decomposition theorem applied to the multiplication by an inner function leads to a special decomposition of the Hardy space. In this paper we obtain norm estimates for componentwise projections associated with this decomposition. An application to operators similar to a contraction is given.
@article{bwmeta1.element.bwnjournal-article-cmv81i2p271bwm, author = {M. Stessin}, title = {Wold decomposition of the Hardy space and Blaschke products similar to a contraction}, journal = {Colloquium Mathematicae}, volume = {79}, year = {1999}, pages = {271-284}, zbl = {0980.30026}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv81i2p271bwm} }
Stessin, M. Wold decomposition of the Hardy space and Blaschke products similar to a contraction. Colloquium Mathematicae, Tome 79 (1999) pp. 271-284. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv81i2p271bwm/
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