Limit-representation of linear, even discontinuous, linear functionals in Hilbert spaces

Otton Martin Nikodým

Rendiconti del Seminario Matematico della Università di Padova (1954)

  • Volume: 23, page 290-298
  • ISSN: 0041-8994

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Nikodým, Otton Martin. "Limit-representation of linear, even discontinuous, linear functionals in Hilbert spaces." Rendiconti del Seminario Matematico della Università di Padova 23 (1954): 290-298. <http://eudml.org/doc/106880>.

@article{Nikodým1954,
author = {Nikodým, Otton Martin},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Functional analysis},
language = {eng},
pages = {290-298},
publisher = {Seminario Matematico of the University of Padua},
title = {Limit-representation of linear, even discontinuous, linear functionals in Hilbert spaces},
url = {http://eudml.org/doc/106880},
volume = {23},
year = {1954},
}

TY - JOUR
AU - Nikodým, Otton Martin
TI - Limit-representation of linear, even discontinuous, linear functionals in Hilbert spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1954
PB - Seminario Matematico of the University of Padua
VL - 23
SP - 290
EP - 298
LA - eng
KW - Functional analysis
UR - http://eudml.org/doc/106880
ER -

References

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  1. 1 Leon Alaoglu.Weak topologies of normed linear spaces. Ann. of Mathem.41 (1940), p. 252-267. Zbl0023.12902MR1455
  2. 2 S. Banach.Opérations linéaires. Warszawa (1932). Zbl0005.20901
  3. 3 M.H. Stone.Linear transformatiom in Hilbert space. Amer. Math. Soc. Coll. PubL, XV, New York (1982). Zbl0933.47001
  4. 4 Garrett Birkhoff.Moore-Smith convergence in general topology. Ann. of Math.38 (1936), p. 39-56. Zbl0016.08502
  5. 5 H.M. Mac Neille.Partially ordered sets. Trans. Amer. Math. Soc., 42, (1937), p. 416-460. MR1501929JFM63.0833.04
  6. 6 O.M. Nikodym.Contribution à la théorie des fonctionnelles linéaires en connection avec la théorie de la mesure des ensembles abstraits. Bull. de la Soc. de Sc. de Cluj, 1931, T. VI, p. 79-90. Zbl57.0293.02JFM58.1057.06
  7. 7 Mahlon M. Day.The spaces Lp with 0 &lt; p &lt; 1. Bull. Amer. Math. Soc. vol. 46 (1940), p. 816-823. Zbl0024.21101MR2700
  8. 8 J.P. La Salle.Pseudo-normed linear spaces. Duke Math. voL 8 (1941). Zbl0025.06303MR3447
  9. 9 H. Löwig.Über die Dimension linearer Räume. Studia Math.5, .p. 18 ff. Zbl60.1229.01JFM60.1229.01

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