Locally convex topologies in linear orthogonality spaces

Jerzy Kąkol; Pekka Sorjonen

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 1, page 33-37
  • ISSN: 0010-2628

Abstract

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In this paper, we investigate the existence and characterizations of locally convex topologies in a linear orthogonality space.

How to cite

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Kąkol, Jerzy, and Sorjonen, Pekka. "Locally convex topologies in linear orthogonality spaces." Commentationes Mathematicae Universitatis Carolinae 32.1 (1991): 33-37. <http://eudml.org/doc/247277>.

@article{Kąkol1991,
abstract = {In this paper, we investigate the existence and characterizations of locally convex topologies in a linear orthogonality space.},
author = {Kąkol, Jerzy, Sorjonen, Pekka},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {locally convex space; orthogonality space; Hahn--Banach extension property; linear orthogonality space; locally convex topology; same closed subspaces as the linear orthogonality relation; Hahn-Banach property},
language = {eng},
number = {1},
pages = {33-37},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Locally convex topologies in linear orthogonality spaces},
url = {http://eudml.org/doc/247277},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Kąkol, Jerzy
AU - Sorjonen, Pekka
TI - Locally convex topologies in linear orthogonality spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 1
SP - 33
EP - 37
AB - In this paper, we investigate the existence and characterizations of locally convex topologies in a linear orthogonality space.
LA - eng
KW - locally convex space; orthogonality space; Hahn--Banach extension property; linear orthogonality space; locally convex topology; same closed subspaces as the linear orthogonality relation; Hahn-Banach property
UR - http://eudml.org/doc/247277
ER -

References

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  1. Kąkol J., Basic sequences and non locally convex topological vector spaces, Rend. Circ. Mat. Palermo (2) 36 (1987), 95-102. (1987) MR0944650
  2. Kalton N.J., Peck N.T., Roberts J.W., An F-space sampler, vol. 89 of London Mathematical Society Lecture Note Series, Cambridge University Press, 1984. Zbl0556.46002MR0808777
  3. Piziak R., Mackey closure operators, J. London Math. Soc. 4 (1971), 33-38. (1971) Zbl0253.06001MR0295977
  4. Piziak R., Sesquilinear forms in infinite dimensions, Pacific J. Math. 43 (2) (1972), 475-481. (1972) Zbl0237.46007MR0318850
  5. Sorjonen P., Lattice-theoretical characterizations of inner product spaces, Studia Sci. Math. Hungarica 19 (1984), 141-149. (1984) Zbl0588.46019MR0787796
  6. Sorjonen P., Hahn-Banach extension properties in linear orthogonality spaces, Funct. Approximatio, Comment. Math., to appear. Zbl0793.46007MR1201711
  7. Wilbur W.J., Quantum logic and the locally convex spaces, Trans. Amer. Math. Soc. 207 (1975), 343-360. (1975) Zbl0289.46019MR0367607

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