Introduction to Hilbert Space and the Theory of Spectral Multiplicity.

Halmos, Paul R.

Published by New York, Chelsea Publishing Company., 1951

About this Item

First Edition. 23.5cm x 15.4cm. 114 pages. Original Hardcover. Gilt lettering on spine. Very good condition with only minor signs of wear. Titlepage signed by preowner. Includes for Example: Linear funtionals/ Bilinear functionals/ Quadratic forms/ Inner product and Norm/ The inequalities of Bessel and Schwartz/ Infinate sums/ Conditions for summability/ Examples of Hilbert Spaces/ Subspaces/ Vectors in and out of Subspaces/ Orthogonal complements/ Vector sums/ Bases/ A non-closed vector sum/ Dimension/ Boundedness/ Bounded Bilinear functionals/ The algebra of operators/ Operators/ Examples of operators/ Inverses/ Adjoints/ Invariance/ Hermitian operators/ Normal and unitary operators/ Projections/ Infima and suprema of projections/ The spectrum of an operator/ Compactness of Spectra/ Transforms of Spectra/ Spectral heuristics/ Spectral measures/ Spectral integrals/ Regular spectral measures/ Real and complex spectral measures/ Description of the spectral subspaces/ The spectral theorem for Hermitian Operators/ The analysis of spectral measures/ The problem of Unitary Equivalence/ Multiplicity functions in finite-dimensional spaces/ Measures/ Boolean operations on measures/ Multiplicity functions/ The canonical example of a spectral measure/ The commutator of a set of projections/ Pairs of commutators/ Columns/ rows/ cycles/ Separable projections/ Characterizations of rows/ Cycles and rows/ The existence of rows/ Orthogonal systems/ The power of a Maximal Orthogonal System/ Multiplicities/ Measures from vectors/ subspaces from measures/ The multiplicity function of a spectral measure etc. Sprache: english. Seller Inventory # 40861AB

Bibliographic Details

Title: Introduction to Hilbert Space and the Theory...

Publisher: New York, Chelsea Publishing Company.

Publication Date: 1951

Binding: Hardcover

Edition: 1st Edition