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Dilation and Model Theory for Pairs of Commuting Contraction Operators: 236 (Cambridge Tracts in Mathematics) - Tapa dura
Sinopsis
Presents a parallel of the Sz.-Nagy–Foias dilation and functional model theory for single contractions in the bi-variate setting.
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Acerca de los autores
Joseph A. Ball is Professor Emeritus at Virginia Tech, a fellow of the American Mathematical Society, and co-author of the books 'Interpolation of Rational Matrix Functions' (1990) and 'Noncommutative Function-Theoretic Operator Theory and Applications' (2022) as well as approximately 200 research articles in operator and mathematical systems theory.
Haripada Sau is Assistant Professor at the Indian Institute of Science Education and Research Pune. He works at the interface of operator theory and holomorphic function theory. He was awarded the Young Associateship by the Indian Academy of Science and the Indian National Science Academy in recognition of his work on the rational dilation problem and certain affine varieties.
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Dilation and Model Theory for Pairs of Commuting Contraction Operators (Hardcover)
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Cambridge University Press, Cambridge, 2026
ISBN 10: 1009687212
ISBN 13: 9781009687218
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Hardcover. Condición: new. Hardcover. Exactly a decade after the publication of the Sz.-Nagy dilation theorem, Tsuyoshi Ando proved that, just like for a single contractive operator, every commuting pair of Hilbert-space contractions can be lifted to a commuting isometric pair. Although the inspiration for Ando's proof comes from the elegant construction of Schaeffer for the single-variable case, his proof did not shed much light on the explicit nature of the dilation operators and the dilation space as did the original Schaeffer and Douglas constructions for a single contraction. Consequently, there has been little follow-up in the direction of a more systematic extension of the Sz.-NagyFoias dilation and model theory to the bivariate setting. Sixty years since the appearance of Ando's first step comes this thorough systematic treatment of a dilation and model theory for pairs of commuting contractions. This reference will be of interest to researchers working in multivariable operator theory. It is accessible to anyone with a first-year graduate-student-level background in analysis, in particular Hardy-space operator theory and functional analysis. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781009687218
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Dilation and Model Theory for Pairs of Commuting Contraction Operators
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Cambridge University Press, GB, 2026
ISBN 10: 1009687212
ISBN 13: 9781009687218
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Hardback. Condición: New. Exactly a decade after the publication of the Sz.-Nagy dilation theorem, Tsuyoshi Ando proved that, just like for a single contractive operator, every commuting pair of Hilbert-space contractions can be lifted to a commuting isometric pair. Although the inspiration for Ando's proof comes from the elegant construction of Schäffer for the single-variable case, his proof did not shed much light on the explicit nature of the dilation operators and the dilation space as did the original Schäffer and Douglas constructions for a single contraction. Consequently, there has been little follow-up in the direction of a more systematic extension of the Sz.-Nagy-Foias dilation and model theory to the bivariate setting. Sixty years since the appearance of Ando's first step comes this thorough systematic treatment of a dilation and model theory for pairs of commuting contractions. Nº de ref. del artículo: LU-9781009687218
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Dilation and Model Theory for Pairs of Commuting Contraction Operators (Hardcover)
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Cambridge University Press, Cambridge, 2026
ISBN 10: 1009687212
ISBN 13: 9781009687218
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Hardcover. Condición: new. Hardcover. Exactly a decade after the publication of the Sz.-Nagy dilation theorem, Tsuyoshi Ando proved that, just like for a single contractive operator, every commuting pair of Hilbert-space contractions can be lifted to a commuting isometric pair. Although the inspiration for Ando's proof comes from the elegant construction of Schaeffer for the single-variable case, his proof did not shed much light on the explicit nature of the dilation operators and the dilation space as did the original Schaeffer and Douglas constructions for a single contraction. Consequently, there has been little follow-up in the direction of a more systematic extension of the Sz.-NagyFoias dilation and model theory to the bivariate setting. Sixty years since the appearance of Ando's first step comes this thorough systematic treatment of a dilation and model theory for pairs of commuting contractions. This reference will be of interest to researchers working in multivariable operator theory. It is accessible to anyone with a first-year graduate-student-level background in analysis, in particular Hardy-space operator theory and functional analysis. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Nº de ref. del artículo: 9781009687218
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Dilation and Model Theory for Pairs of Commuting Contraction Operators
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ISBN 10: 1009687212
ISBN 13: 9781009687218
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Dilation and Model Theory for Pairs of Commuting Contraction Operators
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ISBN 13: 9781009687218
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Buch. Condición: Neu. Dilation and Model Theory for Pairs of Commuting Contraction Operators | Joseph A. Ball (u. a.) | Buch | Englisch | 2026 | Cambridge University Press | EAN 9781009687218 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. Nº de ref. del artículo: 135912117
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Dilation and Model Theory for Pairs of Commuting Contraction Operators
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ISBN 13: 9781009687218
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Dilation and Model Theory for Pairs of Commuting Contraction Operators
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ISBN 10: 1009687212
ISBN 13: 9781009687218
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Exactly a decade after the publication of the Sz.-Nagy dilation theorem, Tsuyoshi Ando proved that, just like for a single contractive operator, every commuting pair of Hilbert-space contractions can be lifted to a commuting isometric pair. Although the inspiration for Ando's proof comes from the elegant construction of Schäffer for the single-variable case, his proof did not shed much light on the explicit nature of the dilation operators and the dilation space as did the original Schäffer and Douglas constructions for a single contraction. Consequently, there has been little follow-up in the direction of a more systematic extension of the Sz.-Nagy-Foias dilation and model theory to the bivariate setting. Sixty years since the appearance of Ando's first step comes this thorough systematic treatment of a dilation and model theory for pairs of commuting contractions. Nº de ref. del artículo: 9781009687218
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Dilation and Model Theory for Pairs of Commuting Contraction Operators
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ISBN 13: 9781009687218
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Dilation And Model Theory For Pairs Of Commuting Contraction Operators
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ISBN 13: 9781009687218
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Dilation and Model Theory for Pairs of Commuting Contraction Operators (Hardcover)
Publicado por
Cambridge University Press, Cambridge, 2026
ISBN 10: 1009687212
ISBN 13: 9781009687218
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Hardcover. Condición: new. Hardcover. Exactly a decade after the publication of the Sz.-Nagy dilation theorem, Tsuyoshi Ando proved that, just like for a single contractive operator, every commuting pair of Hilbert-space contractions can be lifted to a commuting isometric pair. Although the inspiration for Ando's proof comes from the elegant construction of Schaeffer for the single-variable case, his proof did not shed much light on the explicit nature of the dilation operators and the dilation space as did the original Schaeffer and Douglas constructions for a single contraction. Consequently, there has been little follow-up in the direction of a more systematic extension of the Sz.-NagyFoias dilation and model theory to the bivariate setting. Sixty years since the appearance of Ando's first step comes this thorough systematic treatment of a dilation and model theory for pairs of commuting contractions. This reference will be of interest to researchers working in multivariable operator theory. It is accessible to anyone with a first-year graduate-student-level background in analysis, in particular Hardy-space operator theory and functional analysis. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Nº de ref. del artículo: 9781009687218
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