Geodesic
Algebras of operators as topological algebras
Glasgow mathematical journal, Tome 41 (1999) no. 2, pp. 207-209

Voir la notice de l'article provenant de la source Cambridge University Press

An example of a non-topologizable algebra was given in [2]. In [4] Żelazko gave a simple proof of the fact that, if X is an infinite-dimensional vector space, then the algebra of all finite-rank linear operators on X is not topologizableas a topological algebra. In the following we use a similar idea to prove that, if E is a Fréchet space which is not normable, then each subalgebra A of the algebra of all bounded linear operators on E such that A contains the ideal of continuous, finite-rank operators, is non-topologizable as a topological algebra. This is a shorter proof and more general version of the result of [1]. 
Sady, F. Algebras of operators as topological algebras. Glasgow mathematical journal, Tome 41 (1999) no. 2, pp. 207-209. doi: 10.1017/S0017089599970842
@article{10_1017_S0017089599970842,
     author = {Sady, F.},
     title = {Algebras of operators as topological algebras},
     journal = {Glasgow mathematical journal},
     pages = {207--209},
     year = {1999},
     volume = {41},
     number = {2},
     doi = {10.1017/S0017089599970842},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089599970842/}
}
TY  - JOUR
AU  - Sady, F.
TI  - Algebras of operators as topological algebras
JO  - Glasgow mathematical journal
PY  - 1999
SP  - 207
EP  - 209
VL  - 41
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089599970842/
DO  - 10.1017/S0017089599970842
ID  - 10_1017_S0017089599970842
ER  - 
%0 Journal Article
%A Sady, F.
%T Algebras of operators as topological algebras
%J Glasgow mathematical journal
%D 1999
%P 207-209
%V 41
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089599970842/
%R 10.1017/S0017089599970842
%F 10_1017_S0017089599970842

Cité par Sources :