On infinite bounded-Toeplitz extensions of Toeplitz matrices.
Il'in, S.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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Il'in, S.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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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.
Carmen H. Mancera, Pedro José Paúl (2001)
Czechoslovak Mathematical Journal
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In 1997 Pták defined generalized Hankel operators as follows: Given two contractions and , an operator is said to be a generalized Hankel operator if and satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations of and . This approach, call it (P), contrasts with a previous one developed by Pták and Vrbová in 1988, call it (PV), based on the existence of a previously defined generalized Toeplitz operator. There seemed to be a strong...
A.K. Abdikalykov, V.N. Chugunov, Kh.D. Ikramov (2015)
Special Matrices
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Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices. Generalizing this result, we give a complete description of unitary similarity automorphisms of the space of Toeplitz-plus-Hankel matrices.
Arocena, Rodrigo, Cotlar, Misha (1980)
Portugaliae mathematica
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J. Janas (1991)
Studia Mathematica
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Tadeusz Rojek (1989)
Compositio Mathematica
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Miroslav Engliš (1988)
Commentationes Mathematicae Universitatis Carolinae
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