Skip to main content
SpringerLink
Log in

Summation of fields of numbers in boolean tribes I. Auxiliary notions and theorems

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Otton M. Nikodým.Summation of quasi-vectors on Boolean tribes and its application to Quantum Theories I.Mathematically precise theory of P. A. M. Dirac's Delta Function. Rendiconti del Seminario Matematico della Università di Padova, (1959), Vol. 29, p. 1–214.

    Google Scholar 

  2. Otton M. Nikodým.Contribution à la théorie des opérateurs normaux, maximaux dans l'espace de Hilbert-Hermite séparable et complet. Journ. d. Math. Pures et Appliquées, tome 36, p. 129–146, (1957).

    MATH  Google Scholar 

  3. Otton M. Nikodým. C. R. Acad. Sc. t. 238, (1954), p. 1373–1375, p. 1467–1469.

    Google Scholar 

  4. Otton M. Nikodým.Un nouvel appareil mathématique pour la théorie de Quanta. Ann. Inst. H. Poincaré. t. II, (1949), p. 49–122.

    Google Scholar 

  5. Otton M. Nikodým. C. R. Acad. Sc. t. 224, (1947), p. 522–524, p. 628–630, p. 778–780.

    MATH  Google Scholar 

  6. Otton M. Nikodým.Contribution to the theory of maximal, normal operators II.An item of operational calculus and its application to resolvent and spectrum. Journ. f. die reine u. angew. Mathematik. (1960), Bd. 203, p. 90–100.

    MATH  Google Scholar 

  7. G. Birkhoff.Lattice Theory. (1948), New York.

  8. Otton M. Nikodým.Critical remarks on some basic notions in Boolean lattices. Anais de Academia Brasileira de Sciencias, Vol. 24, (1952), p. 113–136.

    Google Scholar 

  9. Otton M. Nikodým.Critical remarks on some basic notions in Boolean lattices II. Rendiconti del Seminario Matematico della Università di Padova, Vol. 27, (1957), p. 193–217.

    Google Scholar 

  10. M. H. Stone.The theory of representation for Boolean algebras. Trans. Amer. Math. Soc. 40, (1936), p. 37–111.

    Article  MATH  MathSciNet  Google Scholar 

  11. F. Wecken.Abstracte Integrale und fastperiodische Functionen. Mathem. Zeitschrift, (1959), Vol. 45, p. 377–404.

    Article  MathSciNet  Google Scholar 

  12. Otton M. Nikodým.Sur une généralisation des intégrales de M. J. Radon. Fund. Math. 14, (1929), p. 131–179.

    Google Scholar 

  13. S. Saks.Theory of the integral. New York, (1937).

  14. M. Fréchet.Sur l'intégrale d'une fonctionnelle étendue a un ensemble abstrait. Bull. de la Soc. Math. de France, t. 43, (1915).

  15. Otton M. Nikodým.Sur l'existence d'une mesure parfaitement (d'énumerablement) additive et non séparable. Mém. de l'Acad. Roy. de Belgique (Classe des Sc.), t. 17, (1938).

  16. Otton M. Nikodým.Sur une propriété de la mesure généralisée des ensembles. Prace Matematyczno-Fizyczne. Warsow. Vol. 36, (1928–29), p. 65–71.

    Google Scholar 

  17. G. Ludwig.Die Grundlagen der Quantenmechanik. Springer-Verlag, Berlin-Göttingen-Heidelberg, [Die Grundlehren der Mathematischen Wissenschaften. Bd. 52], pp. XII+460.

Download references

Author information

Authors and Affiliations

  1. Gambier, Ohio, U. S. A.

    Otton Martin Nikodým

Authors
  1. Otton Martin Nikodým
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Made under U. S. A. National Science Foundation Grant [NFS-G 9661].

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nikodým, O.M. Summation of fields of numbers in boolean tribes I. Auxiliary notions and theorems. Rend. Circ. Mat. Palermo 9, 169–225 (1960). https://doi.org/10.1007/BF02854582

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02854582

Keywords

Search

Navigation