The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis.

The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory.

It should remain a valuable source for the theory of contraction operators for many years to come

It should remain a valuable source for the theory of contraction operators for many years to come. The book presents a theory of contraction operators based on the notion of a minimal unitary dilation.

Start by marking Harmonic Analysis Of Operators On Hilbert Space (Universitext) as Want to Read . The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis.

Start by marking Harmonic Analysis Of Operators On Hilbert Space (Universitext) as Want to Read: Want to Read savin. ant to Read. This second The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis.

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It extends the methods of vector algebra and calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions. A Hilbert space is an abstract vector space possessing the structure of an inner product that allows length and angle to be measured

It should remain a valuable source for the theory of contraction operators for many years to come.

It should remain a valuable source for the theory of contraction operators for many years to come. Table of contents (10 chapters). Contractions and Their Dilations.

Harmonic Analysis of Operators on Hilbert Space. Béla S. Nagy, Ciprian Foias, Hari Bercovici, and László Kérchy.

Foreword sic areas of nonlinear analysis, namely convex analysis, monotone operator

This self-contained book oﬀers a modern unifying presentation of three ba-. sic areas of nonlinear analysis, namely convex analysis, monotone operator. theory, and the ﬁxed point theory of nonexpansive mappings. This turns out to be a judicious choice.

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