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Gleason's theorem and its applications
Dvurečenskij, Anatolij, 1949- - Author
Dordrecht : Ister science press ; Bratislava : Kluwer, 1993 - 325 s.
ISBN 0-7923-1990-7 (Kluwer academic publishers), ISBN 80-900486-1-7 (Ister science press)
Mathematics and its applications (east european series) ;Call number C 278.211 Umístění Info RETRO-CATALOGUING - SHORT RECORD Title statement Gleason's theorem and its applications Main entry-name Dvurečenskij, Anatolij, 1949- (Author) Issue data Dordrecht : Ister science press ; Bratislava : Kluwer, 1993 Phys.des. 325 s. ISBN 0-7923-1990-7 (Kluwer academic publishers) 80-900486-1-7 (Ister science press) Edition Mathematics and its applications (east european series) ; 60 Country Nizozemsko Language angličtina Document kind BOOKS 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 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. Zdroj anotace: Web obalkyknih.czLoading…
Number of the records: 1