Analyticity of a joint spectrum and a multivariable analytic Fredholm theorem. (Analyticity of a joint spectrum and a multivariable analytic Fredhom theorem.)
Wold decomposition of the Hardy space and Blaschke products similar to a contraction
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.
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