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Cambridge Tracts in Mathematics Dilation and Model Theory for Pairs of Commuting Contraction Operators, Book 236, (Hardcover)
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- Cambridge Tracts in Mathematics Dilation and Model Theory for Pairs of Commuting Contraction Operators, Book 236, (Hardcover)
- Author: Cambridge University Press
- ISBN: 9781009687218
- Format: Hardcover
- Publication Date: 2026-07-31
- Page Count: 314
Specs
- Book formatHardcover
- Fiction/nonfictionNon-Fiction
- GenreTextbooks
- Publication dateJuly, 2026
- Pages314
- SubgenreAlgebra
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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.
- Cambridge Tracts in Mathematics Dilation and Model Theory for Pairs of Commuting Contraction Operators, Book 236, (Hardcover)
- Author: Cambridge University Press
- ISBN: 9781009687218
- Format: Hardcover
- Publication Date: 2026-07-31
- Page Count: 314
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Book format
Hardcover
Fiction/nonfiction
Non-Fiction
Genre
Textbooks
Publication date
July, 2026
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