A note on a theorem of Klee
Kąkol, Jerzy
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993), p. 79-80 / Harvested from Czech Digital Mathematics Library

It is proved that if $E,F$ are separable quasi-Banach spaces, then $E\times F$ contains a dense dual-separating subspace if either $E$ or $F$ has this property.

Publié le : 1993-01-01
Classification:  46A04,  46A06,  46A10,  46A16,  46B10
@article{118557,
     author = {Jerzy K\k akol},
     title = {A note on a theorem of Klee},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {34},
     year = {1993},
     pages = {79-80},
     zbl = {0799.46007},
     mrnumber = {1240205},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118557}
}
Kąkol, Jerzy. A note on a theorem of Klee. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 79-80. http://gdmltest.u-ga.fr/item/118557/

Day M.M. The spaces $L^p$ with $0, Bull. Amer. Math. Soc. 46 (1940), 816-823. (1940) | MR 0002700

Klee V.L. Exotic Topologies for Linear Spaces, Proc. Symposium on General Topology and its Relations to Modern Algebra, Prague, 1961. | MR 0154088 | Zbl 0111.10701

Labuda I.; Lipecki Z. On subseries convergent series and $m$- quasi bases in topological linear spaces, Manuscripta Math. 38 (1982), 87-98. (1982) | MR 0662771 | Zbl 0496.46006

Lipecki Z. On some dense subspaces in topological linear spaces, Studia Math. 77 (1984), 413-421. (1984) | MR 0751762

Rolewicz S. Metric Linear Spaces, Monografie Mat. 56, PWN, Warszawa, 1972. | MR 0438074 | Zbl 0573.46001