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

Halmos, Paul R.

ISBN 10: 1614274711 / ISBN 13: 9781614274711

Published by Martino Fine Books 9/10/2013, 2013

About this Item

Introduction to Hilbert Space and the Theory of Spectral Multiplicity.

Seller Inventory # BBS-9781614274711

Bibliographic Details

• Title: Introduction to Hilbert Space and the Theory of Spectral Multiplicity (Paperback or Softback)
• Publisher: Martino Fine Books 9/10/2013
• Publication Date: 2013
• Language: English
• ISBN 10: 1614274711
• ISBN 13: 9781614274711
• Binding: Paperback or Softback
• Condition: New
• Weight: 0.4 pounds
• Book Type: Book

About this title

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.