Generalizations of Hankel operators
Peetre, Jaak
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Peetre, Jaak
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Bernard Morrel, Paul Muhly (1974)
Studia Mathematica
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Aline Bonami, Joaquim Bruna (1999)
Publicacions Matemàtiques
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We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes.
Vladimir Rakočević (2000)
Publications de l'Institut Mathématique
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Mecheri, Salah (2005)
Revista Colombiana de Matemáticas
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S. D. Sharma, Romesh Kumar (2000)
Extracta Mathematicae
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Svante Janson, Jaak Peetre, Richard Rochberg (1987)
Revista Matemática Iberoamericana
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J. Peetre, S. Janson, J. Arazy, S.D. Fisher (1990)
Journal für die reine und angewandte Mathematik
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Mohammed Hichem Mortad (2011)
Colloquium Mathematicae
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We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.