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SPLITTING INVARIANT SUBSPACES IN THE HARDY SPACE OVER THE BIDISK
Published online by Cambridge University Press: 12 May 2016
Abstract
Let $H^{2}$ be the Hardy space over the bidisk. It is known that Hilbert–Schmidt invariant subspaces of $H^{2}$ have nice properties. An invariant subspace which is unitarily equivalent to some invariant subspace whose continuous spectrum does not coincide with $\overline{\mathbb{D}}$ is Hilbert–Schmidt. We shall introduce the concept of splittingness for invariant subspaces and prove that they are Hilbert–Schmidt.
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- Research Article
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- © 2016 Australian Mathematical Publishing Association Inc.
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