| Title:
|
Locally convex topologies in linear orthogonality spaces (English) |
| Author:
|
Kąkol, Jerzy |
| Author:
|
Sorjonen, Pekka |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
33-37 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we investigate the existence and characterizations of locally convex topologies in a linear orthogonality space. (English) |
| Keyword:
|
locally convex space |
| Keyword:
|
orthogonality space |
| Keyword:
|
Hahn--Banach extension property |
| MSC:
|
46A03 |
| MSC:
|
46A15 |
| MSC:
|
46A16 |
| MSC:
|
46A22 |
| MSC:
|
46C99 |
| idZBL:
|
Zbl 0749.46002 |
| idMR:
|
MR1118287 |
| . |
| Date available:
|
2008-10-09T13:10:52Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116940 |
| . |
| Reference:
|
[1] Kąkol J.: Basic sequences and non locally convex topological vector spaces.Rend. Circ. Mat. Palermo (2) 36 (1987), 95-102. MR 0944650 |
| Reference:
|
[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. Zbl 0556.46002, MR 0808777 |
| Reference:
|
[3] Piziak R.: Mackey closure operators.J. London Math. Soc. 4 (1971), 33-38. Zbl 0253.06001, MR 0295977 |
| Reference:
|
[4] Piziak R.: Sesquilinear forms in infinite dimensions.Pacific J. Math. 43 (2) (1972), 475-481. Zbl 0237.46007, MR 0318850 |
| Reference:
|
[5] Sorjonen P.: Lattice-theoretical characterizations of inner product spaces.Studia Sci. Math. Hungarica 19 (1984), 141-149. Zbl 0588.46019, MR 0787796 |
| Reference:
|
[6] Sorjonen P.: Hahn-Banach extension properties in linear orthogonality spaces.Funct. Approximatio, Comment. Math., to appear. Zbl 0793.46007, MR 1201711 |
| Reference:
|
[7] Wilbur W.J.: Quantum logic and the locally convex spaces.Trans. Amer. Math. Soc. 207 (1975), 343-360. Zbl 0289.46019, MR 0367607 |
| . |
