[On positive precompact operators]
We characterize complete Hausdorff locally convex solid lattices (E,τ) satisfying the following property: for all operators such that 0⩽S⩽T and T precompact, the operator S2 is precompact.
Nous caractérisons les treillis vectoriels localement convexes solides séparés et complets (E,τ) vérifiant la condition suivante : si sont des opérateurs tels que 0⩽S⩽T et T précompact, alors l'opérateur S2 est précompact.
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Belmesnaoui Aqzzouz 1; Redouane Nouira 1
@article{CRMATH_2003__337_8_527_0, author = {Belmesnaoui Aqzzouz and Redouane Nouira}, title = {Sur les op\'erateurs pr\'ecompacts positifs}, journal = {Comptes Rendus. Math\'ematique}, pages = {527--530}, publisher = {Elsevier}, volume = {337}, number = {8}, year = {2003}, doi = {10.1016/j.crma.2003.09.011}, language = {fr}, }
Belmesnaoui Aqzzouz; Redouane Nouira. Sur les opérateurs précompacts positifs. Comptes Rendus. Mathématique, Volume 337 (2003) no. 8, pp. 527-530. doi : 10.1016/j.crma.2003.09.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.09.011/
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