Introduction to Hilbert Space and the Theory of Spectral Multiplicity

Halmos, Paul R.

ISBN 10: 1614274711 / ISBN 13: 9781614274711

Edité par Martino Fine Books, 2013

Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_433744513

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.)

Détails bibliographiques

Titre : Introduction to Hilbert Space and the Theory...
Éditeur : Martino Fine Books
Date d'édition : 2013
Reliure : paperback
Etat : Very Good