Wold decomposition of the Hardy space and Blaschke products similar to a contraction
Tom 81 / 1999
Colloquium Mathematicum 81 (1999), 271-284
DOI: 10.4064/cm-81-2-271-284
Streszczenie
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.