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Spectral Theory of Generalized Toeplitz Operators

1965
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Transactions of the American Mathematical Society
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1. Introduction. In this note we consider a class of (bounded) operators on Hilbert space that properly contains the much-studied class of Toeplitz operators, and we show that virtually all of the results of [2] concerning spectral properties of Toeplitz operators are valid for operators in this larger class. We devote §2 to preliminary definitions and examples. The concept of a "Riesz system" is first introduced and then is used to define the class of generalized Toeplitz operators. Several

doi:10.2307/1994279
fatcat:u6pgsf3j6zdkxpcx7bbpbkkgmi