Locally convex topologies in linear orthogonality spaces
Kąkol, Jerzy ; Sorjonen, Pekka
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 33-37 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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

Publié le : 1991-01-01
Classification:  46A03,  46A15,  46A16,  46A22,  46C99 
@article{116940,
     author = {Jerzy K\k akol and Pekka Sorjonen},
     title = {Locally convex topologies  in linear orthogonality spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {33-37},
     zbl = {0749.46002},
     mrnumber = {1118287},
     language = {en},
     url = {http://dml.mathdoc.fr/item/116940}
}

Kąkol, Jerzy; Sorjonen, Pekka. Locally convex topologies  in linear orthogonality spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 33-37. http://gdmltest.u-ga.fr/item/116940/

Kąkol J. Basic sequences and non locally convex topological vector spaces, Rend. Circ. Mat. Palermo (2) 36 (1987), 95-102. (1987) | MR 0944650

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. | MR 0808777 | Zbl 0556.46002

Piziak R. Mackey closure operators, J. London Math. Soc. 4 (1971), 33-38. (1971) | MR 0295977 | Zbl 0253.06001

Piziak R. Sesquilinear forms in infinite dimensions, Pacific J. Math. 43 (2) (1972), 475-481. (1972) | MR 0318850 | Zbl 0237.46007

Sorjonen P. Lattice-theoretical characterizations of inner product spaces, Studia Sci. Math. Hungarica 19 (1984), 141-149. (1984) | MR 0787796 | Zbl 0588.46019

Sorjonen P. Hahn-Banach extension properties in linear orthogonality spaces, Funct. Approximatio, Comment. Math., to appear. | MR 1201711 | Zbl 0793.46007

Wilbur W.J. Quantum logic and the locally convex spaces, Trans. Amer. Math. Soc. 207 (1975), 343-360. (1975) | MR 0367607 | Zbl 0289.46019