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arXiv · 1603.02725

Two types of invariant Subspaces in the polydisc

Beyaz Basak Koca
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Abstract

It is known that the structure of invariant subspaces of the Hardy space $H^2(\mathbb D^n)$ on the polydisc $\mathbb{D}^n$ is very complicated; hence, we need good examples help us to understand the structure of invariant subspaces of $H^2(\mathbb D^n)$. In this paper, we define two types of invariant subspaces of $H^2(\mathbb D^n)$. Then, we give a characterization of these types invariant subspaces in view of the Beurling-Lax-Halmos Theorem. Unitary equivalence is also studied in this paper.

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Beyaz Basak Koca. 2016-03-08. Two types of invariant Subspaces in the polydisc. https://doi.org/10.1007/s00025-016-0645-5

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