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The Mathematical Apparatus for Quantum-Theories

Based on the Theory of Boolean Lattices

  • Book
  • © 1966

Overview

Authors:
  1. Otton Martin Nikodým

    1. Utica, USA

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 129)

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Table of contents (29 chapters)

  1. Front Matter

    Pages II-XI
    Download chapter PDF

  2. General tribes (Boolean lattices)

    • Otton Martin Nikodým
    Pages 1-44

  3. Special theorems on Boolean Lattices

    • Otton Martin Nikodým
    Pages 44-130

  4. Important auxiliaries

    • Otton Martin Nikodým
    Pages 130-145

  5. General theory of traces

    • Otton Martin Nikodým
    Pages 145-173

  6. The tribe of figures on the plane

    • Otton Martin Nikodým
    Pages 173-206

  7. The trace-theorem

    • Otton Martin Nikodým
    Pages 206-252

  8. The lattice of subspaces of the Hilbert-Hermite space

    • Otton Martin Nikodým
    Pages 252-285

  9. Tribes of spaces

    • Otton Martin Nikodým
    Pages 285-335

  10. Double scale of spaces

    • Otton Martin Nikodým
    Pages 335-386

  11. Linear operators permutable with a projector

    • Otton Martin Nikodým
    Pages 386-391

  12. Some double Stieltjes’ and Radons integrals

    • Otton Martin Nikodým
    Pages 391-402

  13. Maximal normal operator and its canonical representation

    • Otton Martin Nikodým
    Pages 402-428

  14. Operators \(N{f^ \cdot }\left( {\mathop {{\text{ }}x}\limits^ \cdot } \right){ = _{df}}\varphi \left( x \right) \cdot \mathop {{\text{ }}f}\limits^ \cdot \left( {\mathop {{\text{ }}x}\limits^ \cdot } \right)\) for ordinary functions f

    • Otton Martin Nikodým
    Pages 428-450

  15. Operational calculus on general maximal normal operators

    • Otton Martin Nikodým
    Pages 450-462

  16. Theorems on normal operators and on related canonical mapping

    • Otton Martin Nikodým
    Pages 462-502

  17. Some classical theorems on normal and selfadjoint operators

    • Otton Martin Nikodým
    Pages 502-520

  18. Multiplicity of spectrum of maximal normal operators

    • Otton Martin Nikodým
    Pages 521-560

  19. On items of operational calculus with application to the resolvent and spectrum of normal operators

    • Otton Martin Nikodým
    Pages 560-586

  20. Tribe of repartition of functions

    • Otton Martin Nikodým
    Pages 586-622
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Keywords

Authors and Affiliations

  • Utica, USA

    Otton Martin Nikodým

Bibliographic Information

  • Book Title: The Mathematical Apparatus for Quantum-Theories

  • Book Subtitle: Based on the Theory of Boolean Lattices

  • Authors: Otton Martin Nikodým

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-46030-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1966

  • Softcover ISBN: 978-3-642-46032-6Published: 09 March 2012

  • eBook ISBN: 978-3-642-46030-2Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: XII, 952

  • Topics: Mathematics, general

  • Industry Sectors: Engineering, IT & Software

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