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Introduction to Hilbert Space and the Theory of Spectral Multiplicity, by Paul R. Halmos
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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.
- Sales Rank: #754950 in Books
- Published on: 2013-09-10
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x .28" w x 5.98" l, .40 pounds
- Binding: Paperback
- 118 pages
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1 of 7 people found the following review helpful.
Four Stars
By L J. Unruh
Ahhh - Hilbert space!
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