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The Positive Supercyclicity Theorem.

F. León Saavedra (2004)

Extracta Mathematicae

We present some recent results related with supercyclic operators, also some of its consequences. We will finalize with new related questions.

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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