On infinite direct products

J. von Neumann

Compositio Mathematica (1939)

  • Volume: 6, page 1-77
  • ISSN: 0010-437X

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von Neumann, J.. "On infinite direct products." Compositio Mathematica 6 (1939): 1-77. <http://eudml.org/doc/88704>.

@article{vonNeumann1939,
author = {von Neumann, J.},
journal = {Compositio Mathematica},
keywords = {Functional analysis, function spaces},
language = {eng},
pages = {1-77},
publisher = {Johnson Reprint Corporation},
title = {On infinite direct products},
url = {http://eudml.org/doc/88704},
volume = {6},
year = {1939},
}

TY - JOUR
AU - von Neumann, J.
TI - On infinite direct products
JO - Compositio Mathematica
PY - 1939
PB - Johnson Reprint Corporation
VL - 6
SP - 1
EP - 77
LA - eng
KW - Functional analysis, function spaces
UR - http://eudml.org/doc/88704
ER -

References

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  1. (1) G. Birkhoff: Moore-Smith convergence in general topology, Annals of Math. (2) 38 (1937), 39—56. Zbl0016.08502JFM63.0567.06
  2. (2) E. Hopf: On causality, statistics, and probability, Journal of Math. and Phys.13 (1934), 51—102. Zbl0009.02703JFM60.1158.02
  3. (3) A. Kolmogoroff: Grundbegriffe der Wahrscheinlichkeitsrechnung, J. Springer, Berlin (1933). Zbl0007.21601
  4. (4) H. Löwig: Komplexe euclidische Räume von beliebiger endlicher oder transfiniter Dimensionszahl, Acta Szeged7 (1934), 1-33. Zbl0009.25901JFM60.0324.01
  5. (5) Z. Lomnicki and S. Ulam: Sur la théorie de la mesure dans les espaces combinatoires et son application au calcul des probabilités, I, Fund. Math.23 (1934), 237—278. Zbl0009.40601JFM60.0977.04
  6. (6) E.H. Moore and H.L. Smith: A general theory of limits, American Journal of Math.44 (1922), 102-121. Zbl48.1254.01MR1506463JFM48.1254.01
  7. (7) F.J. Murray and J. v. Neumann: On rings of operators, Annals of Math. (2) 37 (1936), 116-229. Zbl0014.16101MR1503275JFM62.0449.03
  8. (8) J. v. Neumann: Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren, Math. Annalen102 (1929), 49—131. JFM55.0824.02
  9. (9) J. v. Neumann: Zur Algebra der Funktionaloperatoren, Math. Annalen102 (1929), 370-427. JFM55.0825.02
  10. (10) J. v. Neumann: Über adjungierte Funktionaloperatoren, Annals of Math. (2) 33 (1932), 294—310. Zbl0004.21603JFM58.0423.02
  11. (11) J. v. Neumann: On a certain topology for rings of operators, Annals of Math. (2) 37 (1936), 111-115. Zbl0014.16006MR1503274JFM62.0449.02
  12. (12) J. v. Neumann: Lectures on operator theory [Princeton1934, mimeographed]. 
  13. (13) F. Rellich: Spektraltheorie in nichtseparablen Räumen, Math. Annalen110 (1935), 342—356. Zbl0010.02502JFM60.0325.02
  14. (14) M.H. Stone: Linear Transformations in Hilbert space, Amer. Math. Soc. Coll. Publications, Vol. XV (1932). Zbl0933.47001MR1451877
  15. (15) Y.Y. Tseng: Thesis, Chicago (1932). 

Citations in EuDML Documents

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  1. D. J. C. Bures, Certain factors constructed as infinite tensor products
  2. J. Manuceau, J. C. Trotin, On lattice spin systems
  3. K. Kraus, L. Polley, G. Reents, Models for infrared dynamics. I. Classical currents
  4. Jacques Dixmier, Sur les C * -algèbres
  5. Miloš Dostál, O tenzorových součinech vektorových prostorů
  6. Donald Bures, Representations of infinite weak product groups
  7. S. Miracle-Sole, Traitement de la convolution gauche pour les systèmes infinis
  8. Tullio G. Ceccherini-Silberstein, C * algebras associated with von Neumann algebras
  9. A. Guichardet, Produits tensoriels infinis et représentations des relations d'anticommutation

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