Overview

This book is concerned with three main themes: the first deals with ordering structures such as Riesz spaces and lattice ordered groups and their relation to measure and integration theory. The second theme is the idea of fuzzy sets, which is quite novel, particularly in measure theory. The third subject is the construction of models of quantum mechanical systems, mainly based on fuzzy sets. In this way some recent results are systematically presented. This volume should be suitable not only for specialists in measure and integration theory, ordered spaces, probability theory and ergodic theory, but also for students of theoretical and applied mathematics.

Full Product Details

Author:   Beloslav Riecan ,  Tibor Neubrunn
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Volume:   411
Dimensions:   Width: 15.60cm , Height: 2.20cm , Length: 23.40cm
Weight:   1.610kg
ISBN:  

9780792345664

ISBN 10:   0792345665
Pages:   378
Publication Date:   31 July 1997
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Sets and fuzzy sets.- 2 Null sets and small systems.- 3 Measures on ordered spaces.- 4 Subadditive measures.- 5 The Kurzweil integral in ordered spaces.- 6 Quantum logics.- 7 Fuzzy-quantum spaces.- 8 Fuzzy quantum logics.- 9 Probability on MV algebras.- 10 The entropy of fuzzy dynamical systems.- 11 Measurability and integrability of multifunctions.- Appendix A D-posets (Ferdinand Chovanec, Frantisek Kôpka).- A.1 Difference posets.- A.2 Difference lattices.- A.3 Compatibility in D-posets.- A.4 States and observables on D-posets.- A.5 Ideals in D-posets.- Notes and comments.- Appendix B Notes on order convergence and order topology (Hana Kirchheimová, Zdenka Rie?anová).- B.1 Order convergence of nets and filters in partially ordered sets and their MacNeille completions.- B.2 Order topology and order topological lattices in language of filters and nets.- B.3 Metric modular ortholattices.- Problems.- Notes and comments.- References.

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