2013 Reprint of 1951 version. complete facsimile of the unique variation, now not reproduced with Optical acceptance 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 idea for a standard operator. For the final, a professional wisdom of degree idea is necessary. certainly, multiplicity thought is an impressive measure-theoretic travel de strength. the subject material of the 1st chapters should be acknowledged to represent an creation to Hilbert area, and for those, an a priori wisdom of vintage degree concept isn't crucial. Paul Richard Halmos (1916-2006) used to be a Hungarian-born American mathematician who made basic advances within the parts of likelihood conception, data, operator thought, ergodic concept, and sensible research (in specific, Hilbert spaces). He used to be additionally well-known as a very good mathematical expositor.
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