Geodesic
An irreducible semigroup of idempotents
Studia Mathematica, Tome 125 (1997) no. 1, pp. 97-99

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We construct a semigroup of bounded idempotents with no nontrivial invariant closed subspace. This answers a question which was open for some time.
DOI : 10.4064/sm-125-1-97-99
Keywords: invariant subspaces, idempotents, operator semigroups

Roman Drnovšek 1

1 
@article{10_4064_sm_125_1_97_99,
     author = {Roman Drnov\v{s}ek},
     title = {An irreducible semigroup of idempotents},
     journal = {Studia Mathematica},
     pages = {97--99},
     publisher = {mathdoc},
     volume = {125},
     number = {1},
     year = {1997},
     doi = {10.4064/sm-125-1-97-99},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-125-1-97-99/}
}
TY  - JOUR
AU  - Roman Drnovšek
TI  - An irreducible semigroup of idempotents
JO  - Studia Mathematica
PY  - 1997
SP  - 97
EP  - 99
VL  - 125
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-125-1-97-99/
DO  - 10.4064/sm-125-1-97-99
LA  - en
ID  - 10_4064_sm_125_1_97_99
ER  - 
%0 Journal Article
%A Roman Drnovšek
%T An irreducible semigroup of idempotents
%J Studia Mathematica
%D 1997
%P 97-99
%V 125
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-125-1-97-99/
%R 10.4064/sm-125-1-97-99
%G en
%F 10_4064_sm_125_1_97_99
Roman Drnovšek. An irreducible semigroup of idempotents. Studia Mathematica, Tome 125 (1997) no. 1, pp. 97-99. doi: 10.4064/sm-125-1-97-99

Cité par Sources :