Introduction to Hilbert Space and the Theory of Spectral Multiplicity

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.

Author: Paul R. Halmos
Publisher: Martino Fine Books
Published: 09/10/2013
Pages: 118
Binding Type: Paperback
Weight: 0.40lbs
Size: 9.00h x 6.00w x 0.28d
ISBN13: 9781614274711
ISBN10: 1614274711
BISAC Categories:
- Mathematics | Vector Analysis
- Science | Spectroscopy & Spectrum Analysis
- Mathematics | Calculus

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