Geodesic
Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations
Studia Mathematica, Tome 107 (1993) no. 3, pp. 273-286
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

For any pair E,F of pseudotopological vector spaces, we endow the space L(E,F) of all continuous linear operators from E into F with a pseudotopology such that, if G is a pseudotopological space, then the mapping L(E,F) × L(F,G) ∋ (f,g) → gf ∈ L(E,G) is continuous. We use this pseudotopology to establish a result about differentiability of certain operator-valued functions related with strongly continuous one-parameter semigroups in Banach spaces, to characterize von Neumann algebras, and to establish a result about integration of Lie algebra representations.
DOI : 10.4064/sm-107-3-273-286
Keywords: pseudotopology, continuity, composition of operators, differentiability, one-parameter semigroup, von Neumann algebra, integration, Lie algebra representation 
@article{10_4064_sm_107_3_273_286,
     author = {Jan Rusinek},
     title = {Pseudotopologies with applications to one-parameter groups, von {Neumann} algebras, and {Lie} algebra representations},
     journal = {Studia Mathematica},
     pages = {273--286},
     year = {1993},
     volume = {107},
     number = {3},
     doi = {10.4064/sm-107-3-273-286},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-273-286/}
}
TY  - JOUR
AU  - Jan Rusinek
TI  - Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations
JO  - Studia Mathematica
PY  - 1993
SP  - 273
EP  - 286
VL  - 107
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-273-286/
DO  - 10.4064/sm-107-3-273-286
LA  - en
ID  - 10_4064_sm_107_3_273_286
ER  - 
%0 Journal Article
%A Jan Rusinek
%T Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations
%J Studia Mathematica
%D 1993
%P 273-286
%V 107
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-273-286/
%R 10.4064/sm-107-3-273-286
%G en
%F 10_4064_sm_107_3_273_286
Jan Rusinek. Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations. Studia Mathematica, Tome 107 (1993) no. 3, pp. 273-286. doi: 10.4064/sm-107-3-273-286

Cité par Sources :