Geodesic
NORM CLOSED INVARIANT SUBSPACES IN $L^{\infty}$ AND $H^\infty$
Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 399-404

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

DOI

We characterize norm closed subspaces $B$ of $\linf (\partial D)$ such that $C(\partial D) B \subset B$ and maximal ones in the family of proper closed subspaces $B$ of $L^\infty(\partial D)$ such that $A(D) B \subset B$, where $A(D)$ is the disk algebra. Analogously, we characterize closed subspaces of $H^\infty$ that are simultaneously invariant under $S$ and $S^\ast$, the forward and the backward shift operators, and maximal invariant subspaces of $H^\infty$.
DOI : 10.1017/S0017089504001880
Mots-clés : Primary 47A15, Secondary 46J15 
IZUCHI, KEIJI; SUÁREZ, DANIEL. NORM CLOSED INVARIANT SUBSPACES IN $L^{\infty}$ AND $H^\infty$. Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 399-404. doi: 10.1017/S0017089504001880
@article{10_1017_S0017089504001880,
     author = {IZUCHI, KEIJI and SU\'AREZ, DANIEL},
     title = {NORM {CLOSED} {INVARIANT} {SUBSPACES} {IN} $L^{\infty}$ {AND} $H^\infty$},
     journal = {Glasgow mathematical journal},
     pages = {399--404},
     year = {2004},
     volume = {46},
     number = {2},
     doi = {10.1017/S0017089504001880},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001880/}
}
TY  - JOUR
AU  - IZUCHI, KEIJI
AU  - SUÁREZ, DANIEL
TI  - NORM CLOSED INVARIANT SUBSPACES IN $L^{\infty}$ AND $H^\infty$
JO  - Glasgow mathematical journal
PY  - 2004
SP  - 399
EP  - 404
VL  - 46
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001880/
DO  - 10.1017/S0017089504001880
ID  - 10_1017_S0017089504001880
ER  - 
%0 Journal Article
%A IZUCHI, KEIJI
%A SUÁREZ, DANIEL
%T NORM CLOSED INVARIANT SUBSPACES IN $L^{\infty}$ AND $H^\infty$
%J Glasgow mathematical journal
%D 2004
%P 399-404
%V 46
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001880/
%R 10.1017/S0017089504001880
%F 10_1017_S0017089504001880

Cité par Sources :