A note on normability of locally convex spaces

Joso Vukman

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 1, page 17-22
  • ISSN: 0010-2628

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Vukman, Joso. "A note on normability of locally convex spaces." Commentationes Mathematicae Universitatis Carolinae 024.1 (1983): 17-22. <http://eudml.org/doc/17225>.

@article{Vukman1983,
author = {Vukman, Joso},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {bornological and barrelled Hausdorff locally convex vector space; inner product; Kakutani-Mackey characterization of Hilbert spaces},
language = {eng},
number = {1},
pages = {17-22},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on normability of locally convex spaces},
url = {http://eudml.org/doc/17225},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Vukman, Joso
TI - A note on normability of locally convex spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 1
SP - 17
EP - 22
LA - eng
KW - bornological and barrelled Hausdorff locally convex vector space; inner product; Kakutani-Mackey characterization of Hilbert spaces
UR - http://eudml.org/doc/17225
ER -

References

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  1. J. BOGNÁR, Star algebras induced by non-degenerate inner products, Acta Sci. Math. 39 (1977), 15-26. (1977) MR0438093
  2. J. HORVÁTH, Topological vector spaces and distributions, Addison-Wesley series in mathematics. 
  3. S. KAKUTANI G. W. MACKEY, Two characterisations of real Hilbert space, Ann. Math. 45 (1944), 50-58. (1944) MR0009421
  4. S. KAKUTANI G. W. MACKEY, Ring and lattice characterizations of complex Hilbert space, Bull. Amer. Math. Soc. 52 (1946), 727-733. (1946) MR0016534
  5. C. E. RICKART, General theory of Banach algebras, Van Nostrand I960. Zbl0095.09702MR0115101
  6. J. SARANEN, Charakterisierung einiger Sesquilinear- und Bilinearformen mit Hilfe von Adjunktionen, Ann. Acad, Sci. Fenn. Ser. A I 581, 1974, 1-40. (1974) Zbl0288.46064MR0383138
  7. J. VUKMAN, Involution on L ( X ) , Glasnik Mat. Ser. III 17 (37) (1982), 65-72. (1982) Zbl0501.46022MR0682474
  8. J. VUKMAN, A characterization of real and complex Hilbert space, to appear in Glasnik Mat. Zbl0517.46017MR0710392
  9. J. H. WTLLIAMSON, Two conditions equivalent to normability, J. London Math. Soc. 31 (1956), 111-116. (1956) MR0077891

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