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The existence of unitary dilations makes it possible to study
arbitrary contractions on a Hilbert space using the tools of
harmonic analysis. The first edition of this book was an account of
the progress done in this direction in 1950-70. Since then, this
work has influenced many other areas of mathematics, most notably
interpolation theory and control theory. This second edition, in
addition to revising and amending the original text, focuses on
further developments of the theory, including the study of two
operator classes: operators whose powers do not converge strongly
to zero, and operators whose functional calculus (as introduced in
Chapter III) is not injective. For both of these classes, a wealth
of material on structure, classification and invariant subspaces is
included in Chapters IX and X. Several chapters conclude with a
sketch of other developments related with (and developing) the
material of the first edition.
This book will contain lectures given by four eminent speakers at
the Recent Advances in Operator Theory and Operator Algebras
conference held at the Indian Statistical Institute, Bangalore,
India in 2014. The main aim of this book is to bring together
various results in one place with cogent introduction and
references for further study.
This volume, dedicated to Carl Pearcy on the occasion of his 60th
birthday, presents recent results in operator theory,
nonselfadjoint operator algebras, measure theory and the theory of
moments. The articles on these subjects have been contributed by
leading area experts, many of whom were associated with Carl Pearcy
as students or collaborators. The book testifies to his
multifaceted interests and includes a biographical sketch and a
list of publications.
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