Multivariable Operator Theory.

Intro -- Contents -- Preface -- Explicit formulae for Taylor's functional calculus -- A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains -- Homogeneous operators and systems of imprimitivity -- Duality between A∞ and A-∞ on domains with nondegenerate corners -- Commutative subspace lattices, complete distributivity and approximation -- Models and resolutions for Hilbert modules -- Positivity, extensions and the truncated complex moment problem -- Torsion invariants for finite von Neumann algebras -- Algebraic K-theory invariants for operator theory -- Fundamentals of harmonic analysis on domains in complex space -- Spectral picture and index invariants of commuting n-tuples of operators -- Schatten class of Hankel and Toeplitz operators on the Bergman space of strongly pseudoconvex domains -- Operator equations with elementary operators -- Membership in the class A(2)ℵ0 (H) -- Higher order Hankel forms -- Real valued spectral flow -- Abstract ∂-resolutions for several commuting operators -- Toeplitz C* -algebras and several complex variables -- Positivity conditions and standard models for commuting multioperators -- Trace formulas and completely unitary invariants for some k-tuples of commuting operators.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.