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Measures and Hilbert Lattices

1986 Hilbert space
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Release : 1986
Genre : Hilbert space
Kind : eBook
Book Rating : 092/5 ( reviews)

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Book Synopsis Measures and Hilbert Lattices by : Gudrun Kalmbach

Download or read book Measures and Hilbert Lattices written by Gudrun Kalmbach. This book was released on 1986. Available in PDF, EPUB and Kindle. Book excerpt: This book has two parts. In section 1 to 6 classical measure theory is extended to the theory of measures and states on orthomodular lattices. In section 7 to 12 of this book special properties of complete orthomodular lattices are investigated and characterizations of factors and Hilbert lattices are given

Measures And Hilbert Lattices

1986-10-01
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Release : 1986-10-01
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Kind : eBook
Book Rating : 901/5 ( reviews)

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Book Synopsis Measures And Hilbert Lattices by : Gudrun Kalmbach

Download or read book Measures And Hilbert Lattices written by Gudrun Kalmbach. This book was released on 1986-10-01. Available in PDF, EPUB and Kindle. Book excerpt: Contents: IntroductionOrthomodular MeasuresGleason's TheoremJordan-Hahn DecompositionOrthofacial Sets of StatesEquational Classes Related to StatesDecomposition of Complete Orthomodular LatticesCharacterization of Dimension LatticesBirkhoff-Von Neumann TheoremCoordinatizationsKakutani-Mackey TheoremKeller's Non-Classical Hilbert Spaces Readership: Mathematician and Physicist who are interested in Hilbert Lattices.

Infinite Dimensional Hilbert Lattices

1971 Lattice theory
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Release : 1971
Genre : Lattice theory
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Infinite Dimensional Hilbert Lattices by : Ronald Paul Morash

Download or read book Infinite Dimensional Hilbert Lattices written by Ronald Paul Morash. This book was released on 1971. Available in PDF, EPUB and Kindle. Book excerpt:

Gleason's Theorem and Its Applications

1993-01-31 Mathematics
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Release : 1993-01-31
Genre : Mathematics
Kind : eBook
Book Rating : 900/5 ( reviews)

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Book Synopsis Gleason's Theorem and Its Applications by : Anatolij Dvurecenskij

Download or read book Gleason's Theorem and Its Applications written by Anatolij Dvurecenskij. This book was released on 1993-01-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Orthomodular Lattices

2012-12-06 Computers
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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 155/5 ( reviews)

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Book Synopsis Orthomodular Lattices by : L. Beran

Download or read book Orthomodular Lattices written by L. Beran. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. Bowever, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programmi ng profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-s.cale order", which are almost impossible to fit into the existing classifica tion schemes. They draw upon widely different sections of mathe matics.

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