Leseprobe
* Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
Introduction to Hilbert Space and the Theory of Spectral Multiplicity
Paul R. Halmos
* Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
This concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. Author Paul R. Halmos notes in the Preface that his motivation in writing this text was to make available to a wider audience the results of the third chapter, the so-called multiplicity theory. The theory as he presents it deals with arbitrary spectral measures, including the multiplicity theory of normal operators on a not necessarily separable Hilbert space. His explication covers, as another useful special case, the multiplicity theory of unitary representations of locally compact abelian groups.Suitable for advanced undergraduates and graduate students in mathematics, this volume's sole prerequisite is a background in measure theory. The distinguished mathematician E. R. Lorch praised the book in the Bulletin of the American Mathematical Society as "e;an exposition which is always fresh, proofs which are sophisticated, and a choice of subject matter which is certainly timely."e;
Kundenbewertungen
Hermitian Operators, Hilbert Space, The Algebra of Operators, Multiplicity Functions, Boollean Operations on Measures, Infinite Sums, Spectral Heuristics, Bounded Bilinear Functionals, Spectral Integrals, Analysis of Spectral Measures, math history, geometry of hilbert space, algebra of operators, analysis of spectral measures, multiplicity theory, spectral multiplicity, arbitrary spectral measures, unitary representations, abelian groups, advanced mathematics, undergraduate math, graduate level math, measure theory, math exposition, Quadratic Forms, Bilinear Functionals, Linear Functionals