Geodesic
A Characterization of C*-normed Algebras via Positive Functionals
Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 114-123

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

DOI

We give a characterization of ${{C}^{*}}$ -normed algebras, among certain involutive normed ones. This is done through the existence of enough specific positive functionals. The same question is also examined in some non normed (topological) algebras.
DOI : 10.4153/CMB-2017-023-1
Mots-clés : 46H05, 46K05, C*-normed algebra, C*-algebra, (pre-)locally C*-algebra, pre-C*-bornological algebra, positive functional, locally uniformly A-convex algebra, perfect locally m-convex algebra, C*-subnormable algebra, *-subnormable algebra 
Haralampidou, Marina; Oudadess, Mohamed; Palacios, Lourdes. A Characterization of C*-normed Algebras via Positive Functionals. Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 114-123. doi: 10.4153/CMB-2017-023-1
@article{10_4153_CMB_2017_023_1,
     author = {Haralampidou, Marina and Oudadess, Mohamed and Palacios, Lourdes},
     title = {A {Characterization} of {C*-normed} {Algebras} via {Positive} {Functionals}},
     journal = {Canadian mathematical bulletin},
     pages = {114--123},
     year = {2018},
     volume = {61},
     number = {1},
     doi = {10.4153/CMB-2017-023-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-023-1/}
}
TY  - JOUR
AU  - Haralampidou, Marina
AU  - Oudadess, Mohamed
AU  - Palacios, Lourdes
TI  - A Characterization of C*-normed Algebras via Positive Functionals
JO  - Canadian mathematical bulletin
PY  - 2018
SP  - 114
EP  - 123
VL  - 61
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-023-1/
DO  - 10.4153/CMB-2017-023-1
ID  - 10_4153_CMB_2017_023_1
ER  - 
%0 Journal Article
%A Haralampidou, Marina
%A Oudadess, Mohamed
%A Palacios, Lourdes
%T A Characterization of C*-normed Algebras via Positive Functionals
%J Canadian mathematical bulletin
%D 2018
%P 114-123
%V 61
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-023-1/
%R 10.4153/CMB-2017-023-1
%F 10_4153_CMB_2017_023_1

Cité par Sources :