Toeplitz operators associated with analytic crossed products. II: Invariant subspaces and factorization
type: Item
instance of: scholarly article
title: Toeplitz operators associated with analytic crossed products. II: Invariant subspaces and factorization
zbMATH Open document ID: 0766.47008
DOI: 10.1007/BF01199908
author: Kichi-Suke Saito
published in: Integral Equations and Operator Theory
publication date: 1992-06-25T00:00:00Z
review text: The author considers Toeplitz operators \(T_ A\) acting on a space \({\mathcal H}^ 2=\ell^ 2(Z_ +,L^ 2(M))\), where \(L^ 2(M)\) consists of vector-valued functions determined by a von Neumann algebra \(M\) and a \(^*\)-isomorphism \(\alpha\), and where the symbol \(A\) is generated by analogues of the shift operators. The author obtains results concerning the structure of invariant subspaces for \(T_ A\), factorizations, and the Szegö infimum problem that generalizes known results in the classical case of the unit circle. [For part I see Math. Proc. Camb. Philos. Soc. 108, No. 3, 539-549 (1990; Zbl 0731.47026)].
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47A15
zbMATH DE Number: 9927
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: shift operators
zbMATH Keywords: structure of invariant subspaces
zbMATH Keywords: factorizations
zbMATH Keywords: Szegö infimum problem
reviewed by: Jeffrey R. Butz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 9927