This concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory.
This concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory.
Joseph A. Ball is Professor Emeritus at Virginia Tech in Blacksburg, Virginia. He won Virginia Tech's Alumni Award for Research Excellence in 1997 and is a member of the 2019 class of Fellows of the American Mathematical Society. He is co-author of Interpolation of Rational Matrix Functions (1990).
Inhaltsangabe
1. Introduction 2. Formal Reproducing Kenel Hilbert Spaces 3. Contractive multipliers 4. Stein relations and observability range spaces 5. Beurling-Lax theorems based on contractive multipliers 6. Non-orthogonal Beurling-Lax representations 7. Orthogonal Beurling-Lax representations 8. Models for ¿-hypercontractive operator tuples 9. Regular formal power series.
