Measures and Hilbert lattices

by Kalmbach, Gudrun

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Measures and Hilbert Lattices.

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Title Statements

Full title :Measures and Hilbert lattices / G. Kalmbach.

Summary

Measures and Hilbert Lattices.

Edition Statements

Publication Date:©1986.

Publication Statements

Publisher(s):World Scientific
Place of Publication:Singapore
Language:eng
Publication Date:©1986.

Notes

Includes indexes.

The Physical Object

Description:1 online resource (xi, 247 pages)

Edition Identifiers

ISBN:9789814503105, 981450310X
oclc:ocn847527297
LC Classification:QC20.7.M43
Dewey Decimal:515.7/33

PREFACE; Preface characterizes Hilbert spaces among pre-Hilbert spaces.; CONTENTS; 1. INTRODUCTION; REFERENCES; 2 . ORTHOMODULAR MEASURES; REFERENCES; 3. GLEASON'S THEOREM; REFERENCES; 4 . JORIDAN-HAHN DECOMPOSITION; REFERENCES; 5. ORTHOFACIAL SETS OF STATS; REFERENCES; 6. EQUATIONAL CLASSES RELATED TO STATES; REFERENCES; 7. DECOMPOSITION OF COMPLETE ORTHOMODULAR LATTICES; REFERENCES; 8 . CHARACTERIZATION OF DIMENSION LATTICES; REFERENCES; 9 . BIRKHOFF -- VON NEUMANN THEOREM; REFERENCES; 1O . COORDINATIZATIONS; REFERENCES; 11. KAKUTANI -- MACKEY THEOREM; REFERENCES.

12. KELLER'S NON-CLASSICAL HILBERT SPACESREFERENCES; APPENDIX; 1. Algebrabra and operations.; 2. Banach spaces.; 3. Boolean algebras.; 4. Continuum hypothesis.; 5. Desargues-property.; 6. Dimension lattices.; 7. Equational classes.; 8. Hilbert space.; 9. Ordered abelian groups.; 10. Orthomodular lattices.; 11. Set theoretical notions; 12. Von Neumann algebras.; BIBLIOGRAPHY; I . BOOKS; INDEX OF SYMBOLS; INDEX OF NOTATION.