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A clear, readable introductory treatment of Hilbert Space. The multiplicity theory of continuous spectra is treated, for the first time in English, in full generality.
| ISBN | 0821813781 | | Volumes | 001 | | ISBN13 | 9780821813782
(What's this?) | | Co_publisher | Chelsea Publishing Co./American Mathematical Society | | Publisher | American Mathematical Society | | Weight (grammes) | 365 | | Imprint | American Mathematical Society | | Published in | Providence | | Format | Hardback | | Series title | AMS Chelsea Publishing | | Publication date | 15 Oct 1998 | | Previous ISBN | 9780828400824 | | Library of Congress | QA | | Height (mm) | 241 | | DEWEY | 515.733 | | Width (mm) | 159 | | DEWEY edition | DC21 | | Academic level | Professional / Scholarly | | Pages | 114 | |
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| | | Preface | | 3 | | 0 | | Prerequisites and Notation | | 8 | | Ch. I | | The Geometry of Hilbert Space | | | | 1 | | Linear Functionals | | 11 | | 2 | | Bilinear Functionals | | 12 | | 3 | | Quadratic Forms | | 12 | | 4 | | Inner Product and Norm | | 13 | | 5 | | The Inequalities of Bessel and Schwarz | | 14 | | 6 | | Hilbert Space | | 16 | | 7 | | Infinite Sums | | 17 | | 8 | | Conditions for Summability | | 19 | | 9 | | Examples of Hilbert Spaces | | 20 | | 10 | | Subspaces | | 21 | | 11 | | Vectors in and out of Subspaces | | 23 | | 12 | | Orthogonal Complements | | 24 | | 13 | | Vector Sums | | 25 | | 14 | | Bases | | 27 | | 15 | | A Non-closed Vector Sum | | 28 | | 16 | | Dimension | | 29 | | 17 | | Boundedness | | 31 | | 18 | | Bounded Bilinear Functionals | | 32 | | Ch. II | | The Algebra of Operators | | | | 19 | | Operators | | 35 | | 20 | | Examples of Operators | | 36 | | 21 | | Inverses | | 37 | | 22 | | Adjoints | | 38 | | 23 | | Invariance | | 40 | | 24 | | Hermitian Operators | | 41 | | 25 | | Normal and Unitary Operators | | 42 | | | More... | | |
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