Generalized Toeplitz Forms and Interpolation Colligations | Zendy

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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.

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