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The relationship between K u 2 v H 2 and inner functions

Xiaoyuan Yang (2024)

Czechoslovak Mathematical Journal

Let u be an inner function and K u 2 be the corresponding model space. For an inner function v , the subspace v H 2 is an invariant subspace of the unilateral shift operator on H 2 . In this article, using the structure of a Toeplitz kernel ker T u ¯ v , we study the intersection K u 2 v H 2 by properties of inner functions u and v ( v ...

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