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Unbounded composition operators via inductive limits: cosubnormal operators with matrix symbols. II. (English) Zbl 1356.47031

Summary: This article 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 \(\mathcal{S}_{n,r}^{*}\) of unbounded operators and provide criteria for the aforementioned composition operators to belong to \(\mathcal{S}_{n,r}^{*}\). Our approach is based on inductive limits of operators.
For Part I, see [Filomat (to appear), arXiv:1502.01638].

MSC:

47B33 Linear composition operators
47B20 Subnormal operators, hyponormal operators, etc.
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