Geodesic
Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball
Kunyu Guo 1   ; Yongjiang Duan 2
1 Department of Mathematics Fudan University Shanghai, 200433, P.R. China
2 Department of Mathematics Fudan University Shanghai 200433, P.R. China
Studia Mathematica, Tome 177 (2006) no. 2, pp. 141-152 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Let $M$ be a Beurling-type submodule of $H^2(\mathbb{B}_d),$ the Hardy space over the unit ball ${\mathbb{B}_d}$ of $\mathbb{C}^d$, and let $N=H^2(\mathbb{B}_d)/M$ be the associated quotient module. We completely describe the spectrum and essential spectrum of $N$, and related index theory.
DOI : 10.4064/sm177-2-4
Keywords: beurling type submodule mathbb hardy space unit ball mathbb mathbb mathbb associated quotient module completely describe spectrum essential spectrum related index theory

Kunyu Guo  1   ; Yongjiang Duan  2

1 Department of Mathematics Fudan University Shanghai, 200433, P.R. China
2 Department of Mathematics Fudan University Shanghai 200433, P.R. China 
@article{10_4064_sm177_2_4,
     author = {Kunyu Guo and Yongjiang Duan},
     title = {Spectral properties of quotients of
 {Beurling-type} submodules of the {Hardy} module over the unit ball},
     journal = {Studia Mathematica},
     pages = {141--152},
     year = {2006},
     volume = {177},
     number = {2},
     doi = {10.4064/sm177-2-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm177-2-4/}
}
TY  - JOUR
AU  - Kunyu Guo
AU  - Yongjiang Duan
TI  - Spectral properties of quotients of
 Beurling-type submodules of the Hardy module over the unit ball
JO  - Studia Mathematica
PY  - 2006
SP  - 141
EP  - 152
VL  - 177
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm177-2-4/
DO  - 10.4064/sm177-2-4
LA  - en
ID  - 10_4064_sm177_2_4
ER  - 
%0 Journal Article
%A Kunyu Guo
%A Yongjiang Duan
%T Spectral properties of quotients of
 Beurling-type submodules of the Hardy module over the unit ball
%J Studia Mathematica
%D 2006
%P 141-152
%V 177
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm177-2-4/
%R 10.4064/sm177-2-4
%G en
%F 10_4064_sm177_2_4
Kunyu Guo; Yongjiang Duan. Spectral properties of quotients of
 Beurling-type submodules of the Hardy module over the unit ball. Studia Mathematica, Tome 177 (2006) no. 2, pp. 141-152. doi: 10.4064/sm177-2-4

Cité par Sources :