Foundations of Quantum Mechanics and Ordered Linear Spaces

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 Orderings of vector spaces
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   Chapter 3 Duality of cones in locally convex spaces
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   Chapter 4 Order unit and base norm spaces
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   Chapter 5 Minimal decompositions in base normed spaces
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   Chapter 6 Simplex spaces
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   Chapter 7 Representation of Banach lattices
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   Chapter 8 Order ideals in ordered Banach spaces
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    Chapter 9 Order bounded operators and central measures
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    Chapter 10 Ordered normed tensor products
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    Chapter 11 Positive linear maps of Cu * -algebras
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    Chapter 12 Axiomatics of preparing and measuring procedures
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    Chapter 13 The structure of ordered Banach spaces in axiomatic quantum mechanics
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    Chapter 14 Measuring and preparing processes
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    Chapter 15 Models of the measuring process and of macro-theories
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    Chapter 16 The centre of a physical system
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    Chapter 17 Operations and effects in the Hilbert space formulation of quantum theory
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    Chapter 18 The empirical logic approach to the physical sciences
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    Chapter 19 The structure of quantum mechanics: Suggestions for a unified physics
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    Chapter 20 Irreversibility and dynamical maps of statistical operators
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    Chapter 21 The inner orthogonality of convex sets in axiomatic quantum mechanics
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    Chapter 22 Reduced dynamics in quantum mechanics
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    Chapter 23 The quantum mechanical Hilbert space formalism and the quantum mechanical probability space of the outcomes of measurements
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    Chapter 24 Mean ergodic semigroups and invariant ideals in ordered Banach spaces
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    Chapter 25 The representation of classical systems in quantum mechanics
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    Chapter 26 Extended Hilbert space formulation of Dirac's bra and ket formalism and its applications to abstract stationary scattering theory
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    Chapter 27 Projections on orthomodular lattices
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    Chapter 28 The Šilov boundary of a convex cone
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    Chapter 29 A Radon-nikodym-theorem for operators with an application to spectral theory