Harmonic Analysis of Operators on Hilbert Space

Béla Sz Nagy (u. a.)

ISBN 10: 1441960937 / ISBN 13: 9781441960931

Editore: Springer New York, 2010

Harmonic Analysis of Operators on Hilbert Space | Béla Sz Nagy (u. a.) | Taschenbuch | xiv | Englisch | 2010 | Springer New York | EAN 9781441960931 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 107448647

Riassunto:

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.

Informazioni sull?autore: Béla Szokefalvi-Nagy (1913-1998) was a famed mathematician for his work in functional analysis and operator theory. He was the recipient of the Lomonosov Medal in 1979. Ciprian Ilie Foias is currently a distinguished professor in the department of mathematics at Texas A&M University in College Station. He is well known for his work in operator theory, infinite dimensional dynamical systems, ergodic theory, as well as applications in such diverse fields as control theory, mathematical biology and mathematical economics. Among many other honors, Foias was awarded the Norbert Wiener Prize in applied Mathematics in 1995. Hari Bercovici is currently a professor of mathematics at Indiana University. He works in operator theory and function theory. László Kérchy is the director of the Bolyai Institute at Szeged University. He made important contributions to operator theory, many of them represented in this monograph.

Dati bibliografici

Titolo: Harmonic Analysis of Operators on Hilbert ...
Casa editrice: Springer New York
Data di pubblicazione: 2010
Legatura: Taschenbuch
Condizione: Neu
Edizione: seconda edizione