Geodesic
INVARIANT SUBSPACES OF FINITE CODIMENSION AND UNIFORM ALGEBRAS
Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 117-120

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

DOI

Let $A$ be a uniform algebra on a compact Hausdorff space $X$ and $m$ a probability measure on $X$. Let $H^p(m)$ be the norm closure of $A$ in $L^p(m)$ with $1 \le p < \infty$ and $H^\infty(m)$ the weak $\ast$ closure of $A$ in $L^\infty(m)$. In this paper, we describe a closed ideal of $A$ and exhibit a closed invariant subspace of $H^p(m)$ for $A$ that is of finite codimension.
DOI : 10.1017/S0017089503001587
Mots-clés : 46 J 15, 46 J 20 
NAKAZI, TAKAHIKO; OSAWA, TOMOKO. INVARIANT SUBSPACES OF FINITE CODIMENSION AND UNIFORM ALGEBRAS. Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 117-120. doi: 10.1017/S0017089503001587
@article{10_1017_S0017089503001587,
     author = {NAKAZI, TAKAHIKO and OSAWA, TOMOKO},
     title = {INVARIANT {SUBSPACES} {OF} {FINITE} {CODIMENSION} {AND} {UNIFORM} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {117--120},
     year = {2004},
     volume = {46},
     number = {1},
     doi = {10.1017/S0017089503001587},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001587/}
}
TY  - JOUR
AU  - NAKAZI, TAKAHIKO
AU  - OSAWA, TOMOKO
TI  - INVARIANT SUBSPACES OF FINITE CODIMENSION AND UNIFORM ALGEBRAS
JO  - Glasgow mathematical journal
PY  - 2004
SP  - 117
EP  - 120
VL  - 46
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001587/
DO  - 10.1017/S0017089503001587
ID  - 10_1017_S0017089503001587
ER  - 
%0 Journal Article
%A NAKAZI, TAKAHIKO
%A OSAWA, TOMOKO
%T INVARIANT SUBSPACES OF FINITE CODIMENSION AND UNIFORM ALGEBRAS
%J Glasgow mathematical journal
%D 2004
%P 117-120
%V 46
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001587/
%R 10.1017/S0017089503001587
%F 10_1017_S0017089503001587

Cité par Sources :