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OverviewThis volume deals with Gleason's theorem and Gleason's measures and indicates the many ways in which they can be applied. The book comprises five chapters. Chapter 1 is devoted to elements of Hilbert space theory. Chapter 2 is devoted to quantum logic theory. Gleason's theorem is described and proved in Chapter 3, together with proofs for measures that can attain infinite values. In Chapter 4 the possibility of applying Gleason's theorem to the completeness criteria of inner product spaces is addressed. Chapter 5 discusses orthogonal measures and the unexpected possibility of describing states on Keller spaces, as well as other applications. Throughout the book, important facts and concepts are illustrated exercises. For mathematicians and physicists interested in the mathematical foundations of quantum mechanics, and those whose work involves noncommutative measure theory, orthomodular lattices. Hilbert space theory and probability theory. Full Product DetailsAuthor: Anatolij DvurecenskijPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 1992 Volume: 60 Dimensions: Width: 16.00cm , Height: 1.80cm , Length: 24.00cm Weight: 0.528kg ISBN: 9789048142095ISBN 10: 9048142091 Pages: 325 Publication Date: 03 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1 Hilbert Space Theory.- 2 Theory of Quantum Logics.- 3 Gleason’s Theorem.- 4 Gleason’s Theorem and Completeness Criteria.- 5 Applications of Gleason’s Theorem.- Index of Symbols.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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