Quasinormality and numerical ranges of certain classes of dual Toeplitz operators.
Guediri, Hocine (2010)
Abstract and Applied Analysis
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Guediri, Hocine (2010)
Abstract and Applied Analysis
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J. Janas (1991)
Studia Mathematica
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Albrecht Böttcher, Hartmut Wolf (1997)
Banach Center Publications
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Let A stand for a Toeplitz operator with a continuous symbol on the Bergman space of the polydisk or on the Segal-Bargmann space over . Even in the case N = 1, the spectrum Λ(A) of A is available only in a few very special situations. One approach to gaining information about this spectrum is based on replacing A by a large “finite section”, that is, by the compression of A to the linear span of the monomials . Unfortunately, in general the spectrum of does not mimic the spectrum...
Taddesse Zegeye, S.C. Arora (2001)
Publications de l'Institut Mathématique
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Miroslav Engliš (1988)
Commentationes Mathematicae Universitatis Carolinae
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Lavon Page (1982)
Banach Center Publications
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J. Janas (1975)
Studia Mathematica
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Basor, Estelle L., Ehrhardt, Torsten (1999)
The New York Journal of Mathematics [electronic only]
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Elżbieta Król-Klimkowska, Marek Ptak (2016)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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The investigation of properties of generalized Toeplitz operators with respect to the pairs of doubly commuting contractions (the abstract analogue of classical two variable Toeplitz operators) is proceeded. We especially concentrate on the condition of existence such a non-zero operator. There are also presented conditions of analyticity of such an operator.