Results 151 to 160 of about 598 (181)
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On Toeplitz Operators with Biharmonic Symbols
Bulletin of the Malaysian Mathematical Sciences Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yousef, A., Al-Naimi, R.
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Essentially commuting Toeplitz operators
Pacific Journal of Mathematics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gorkin, Pamela, Zheng, Dechao
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On Quasisimilarity for Analytic Toeplitz Operators
Canadian Mathematical Bulletin, 1988AbstractLet f be a function in H∞. We show that if f is inner or if the commutant of the analytic Toeplitz operator Tf is equal to that of Tb for some finite Blaschke product b, then any analytic Toeplitz operator quasisimilar to Tf is unitarily equivalent to Tf.
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When is a Function of a Toeplitz Operator Close to a Toeplitz Operator?
1989In this paper we consider conditions under which the operator f(Tα) - T f·α belongs to the Schatten — von Heumann class Sp and in particular conditions when f(Tα) - T f·α is of trace class. Here Tα is a Toeplitz operator which is defined for bounded α on the Hardy class H2 by $$ {T_\varphi }f = {\mathbb{P}_ + }\varphi f $$ (1) , where P+ is ...
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1990
Some questions for Toeplitz operators on H p have already been answered in the preceding chapters. In particular, we settled the Fredholm theory for the operators in algℒ (H N p ) T(C N × N +H N × N ∞ ). Also notice the localization result stated in Theorem 2.96. However, many questions still remain open and it is only a small number of them which will
Albrecht Böttcher, Bernd Silbermann
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Some questions for Toeplitz operators on H p have already been answered in the preceding chapters. In particular, we settled the Fredholm theory for the operators in algℒ (H N p ) T(C N × N +H N × N ∞ ). Also notice the localization result stated in Theorem 2.96. However, many questions still remain open and it is only a small number of them which will
Albrecht Böttcher, Bernd Silbermann
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On Toeplitz Operators and Similarity
American Journal of Mathematics, 1978Clark, Douglas N., Morrel, Judith H.
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Analytic Toeplitz and Composition Operators
Canadian Journal of Mathematics, 1972This paper is a continuation of [1] where we began the study of intertwining analytic Toeplitz operators. Recall that X intertwines two operators A and B if XA = BX. Let H2 be the Hilbert space of analytic functions in the open unit disk D for which
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Products of Toeplitz Operators on the Polydisk
Integral Equations and Operator Theory, 2003Let \(\mathbb{D}^n\) be the polydisk in \(\mathbb{C}^n\) and \(T_f\) denote the Toeplitz operator on \(H^2(\mathbb{D}^n)\) with symbol \(f\) in \(L^\infty\). The author studies some properties of the products \(T_fT_g\) of two Toeplitz operators: (1) when the product \(T_fT_g\) is equal to zero; (2) when the product \(T_fT_g\) is still a Toeplitz ...
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Transactions of the American Mathematical Society, 1982
Barria, Jose, Halmos, P. R.
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Barria, Jose, Halmos, P. R.
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Toeplitz Operators and Toeplitz C*-Algebras
1996In this chapter we develop a structure theory for multi-variable Toeplitz operators, using the Toeplitz C*-algebra generated by these operators and its representation theory.
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