Description
Martino Fine Books Introduction to Hilbert Space and the Theory of Spectral Multiplicity by Paul R Halmos
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 selfadjoint 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 measuretheoretic 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 (19162006) was a Hungarianborn 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.show more