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Gleason's Theorem and Its Applications on Hardback by Anatolij Dvurecenskij
Gleason's Theorem and Its Applications on Hardback by Anatolij Dvurecenskij
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Description

This 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 by exercises. For mathematicians and physicists interested in the mathematical foundations of quantum mechanics, and those whose work involves non-commutative measure theory, orthomodular lattices, Hilbert space theory and probability theory.
Release date NZ
January 31st, 1993
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
XVI, 325 p.
Pages
325
Dimensions
156x234x20
ISBN-13
9780792319900
Product ID
2051085

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