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Generalized Toeplitz Forms and Interpolation Colligations
Author(s) -
Albgría Pedro,
Cotlar Mischa
Publication year - 1998
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19981900102
Subject(s) - toeplitz matrix , mathematics , interpolation (computer graphics) , space (punctuation) , pure mathematics , trigonometry , algebra over a field , mathematical analysis , image (mathematics) , computer science , artificial intelligence , operating system
In a recent paper, V. K ATSNELSON related the Cotlar‐Sadosky theory of Generalized Toeplitz Forms in the space P of trigonometric polynomials to the Katsnelson‐Kheifets‐Yuditskii interpolation theory. In this paper it is pointed out that the Generalized Toeplitz Forms in P give rise to almost commuting pairs of operators which in turn induce Potapov colligations in the same space P and that this leads to a new setting for the Generalized Toeplitz Forms.