Introduction to Hilbert Space and the Theory of Spectral Multiplicity (Paperback or Softback)

Halmos, Paul R.

ISBN 10: 1614274711 / ISBN 13: 9781614274711

Edité par Martino Fine Books 9/10/2013, 2013

A propos de cet article

Introduction to Hilbert Space and the Theory of Spectral Multiplicity 0.4. N° de réf. du vendeur BBS-9781614274711

Détails bibliographiques

Titre : Introduction to Hilbert Space and the Theory...

Éditeur : Martino Fine Books 9/10/2013

Date d'édition : 2013

Reliure : Paperback or Softback

Etat : New

Type de livre : Book

A propos de ce titre

Synopsis :

2013 Reprint of 1951 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. The subject matter of the book is funneled into three chapters: [1] The geometry of Hubert space; [2] the structure of self-adjoint and normal operators; [3] and multiplicity theory for a normal operator. For the last, an expert knowledge of measure theory is indispensable. Indeed, multiplicity theory is a magnificent measure-theoretic tour de force. The subject matter of the first two chapters might be said to constitute an introduction to Hilbert space, and for these, an a priori knowledge of classic measure theory is not essential. Paul Richard Halmos (1916-2006) was a Hungarian-born American mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was also recognized as a great mathematical expositor.

Présentation de l'éditeur:

“In one hundred and nine well-packed pages one finds an exposition which is always fresh, proofs which are sophisticated, and a choice of subject matter which is certainly timely. ... Most pages exhibit a zest for play as well as work which is refreshing.” – E. R. Lorch (Bull. Amer. Math. Soc.)