2013 Reprint of 1951 version. complete facsimile of the unique version, no longer reproduced with Optical attractiveness software program. the subject material of the booklet is funneled into 3 chapters:  The geometry of Hubert area;  the constitution of self-adjoint and general operators;  and multiplicity conception for a traditional operator. For the final, knowledgeable wisdom of degree thought is crucial. certainly, multiplicity idea is a powerful measure-theoretic travel de strength. the subject material of the 1st chapters will be stated to represent an creation to Hilbert area, and for those, an a priori wisdom of vintage degree concept isn't really crucial. Paul Richard Halmos (1916-2006) was once a Hungarian-born American mathematician who made basic advances within the components of likelihood thought, records, operator conception, ergodic idea, and sensible research (in specific, Hilbert spaces). He was once additionally famous as an excellent mathematical expositor.
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