Generalized Köthe-Toeplitz duals.
Maddox, I.J. (1980)
International Journal of Mathematics and Mathematical Sciences
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Maddox, I.J. (1980)
International Journal of Mathematics and Mathematical Sciences
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Choudhary, B., Mishra, S.K. (1995)
International Journal of Mathematics and Mathematical Sciences
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Bektas, C.A., Et, Mikhail (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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R. Jajte (1964)
Colloquium Mathematicae
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Tadeusz Rojek (1989)
Compositio Mathematica
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Miroslav Engliš (1988)
Commentationes Mathematicae Universitatis Carolinae
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Il'in, S.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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Sanzheng Qiao (1988)
Numerische Mathematik
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Yufeng Lu, Linghui Kong (2014)
Studia Mathematica
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We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.
Marek Ptak (2005)
Annales Polonici Mathematici
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Projections onto the spaces of all Toeplitz operators on the N-torus and the unit sphere are constructed. The constructions are also extended to generalized Toeplitz operators and applied to show hyperreflexivity results.
Mehdi Nikpour (2019)
Czechoslovak Mathematical Journal
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Based on the results in A. Feintuch (1989), this work sheds light upon some interesting properties of strongly asymptotically Toeplitz and Hankel operators, and relations between these two classes of operators. Indeed, among other things, two main results here are (a) vanishing Toeplitz and Hankel operators forms an ideal, and (b) finding the distance of a strongly asymptotically Toeplitz operator from the set of vanishing Toeplitz operators.
Miroslav Engliš, Jari Taskinen (2007)
Studia Mathematica
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It is well known that one can often construct a star-product by expanding the product of two Toeplitz operators asymptotically into a series of other Toeplitz operators multiplied by increasing powers of the Planck constant h. This is the Berezin-Toeplitz quantization. We show that one can obtain in a similar way in fact any star-product which is equivalent to the Berezin-Toeplitz star-product, by using instead of Toeplitz operators other suitable mappings from compactly supported smooth...