Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Dilation and Model Theory for Pairs of Commuting Contraction Operators

Dilation and Model Theory for Pairs of Commuting Contraction Operators

Ball, Joseph A.
Sau, Haripada

Hardcover

Series: Cambridge Tracts in Mathematics, Book 236

Algebra

ISBN10: 1009687212
ISBN13: 9781009687218
Publisher: Cambridge University Press
Published: Jul 23 2026
Pages: 316
Weight: 1.30
Height: 0.75 Width: 6.00 Depth: 9.00
Language: English
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.

Also in

Algebra

View All