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arXiv · 1510.05441

Unbounded composition operators via inductive limits: cosubnormal operators with matrix symbols. II

Piotr Budzynski·Piotr Dymek·Artur Planeta
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Abstract

The paper deals with unbounded composition operators with infinite matrix symbols acting in $L^2$-spaces with respect to the gaussian measure on $\mathbb{R}^\infty$. We introduce weak cohyponormality classes $\EuScript{S}_{n,r}^*$ of unbounded operators and provide criteria for the aforementioned composition operators to belong to $\EuScript{S}_{n,r}^*$. Our approach is based on inductive limits of operators.

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Piotr Budzynski, Piotr Dymek, Artur Planeta. 2015-10-19. Unbounded composition operators via inductive limits: cosubnormal operators with matrix symbols. II. https://doi.org/10.1215/17358787-3773078

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