Geodesic
On unitary equivalence of invariant subspaces of the Dirichlet space
Kunyu Guo1 ; Liankuo Zhao2
1School of Mathematics Sciences Fudan University Shanghai, 200433, P.R. China
2School of Mathematics and Computer Sciences Shanxi Normal University Linfen, 041004, P.R. China
Studia Mathematica, Tome 196 (2010) no. 2, pp. 143-150

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

It is shown that in the Dirichlet space $\mathcal{D}$, two invariant subspaces $\mathcal{M}_1$, $\mathcal{M}_2$ of the Dirichlet shift $M_z$ are unitarily equivalent only if $\mathcal{M}_1=\mathcal{M}_2$.
DOI : 10.4064/sm196-2-3
Keywords: shown dirichlet space mathcal invariant subspaces mathcal mathcal dirichlet shift unitarily equivalent only mathcal mathcal

Kunyu Guo  1   ; Liankuo Zhao  2

1 School of Mathematics Sciences Fudan University Shanghai, 200433, P.R. China
2 School of Mathematics and Computer Sciences Shanxi Normal University Linfen, 041004, P.R. China 
Kunyu Guo; Liankuo Zhao. On unitary  equivalence  of invariant subspaces of the Dirichlet space. Studia Mathematica, Tome 196 (2010) no. 2, pp. 143-150. doi: 10.4064/sm196-2-3
@article{10_4064_sm196_2_3,
     author = {Kunyu Guo and Liankuo Zhao},
     title = {On unitary  equivalence  of invariant subspaces of the {Dirichlet} space},
     journal = {Studia Mathematica},
     pages = {143--150},
     year = {2010},
     volume = {196},
     number = {2},
     doi = {10.4064/sm196-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm196-2-3/}
}
TY  - JOUR
AU  - Kunyu Guo
AU  - Liankuo Zhao
TI  - On unitary  equivalence  of invariant subspaces of the Dirichlet space
JO  - Studia Mathematica
PY  - 2010
SP  - 143
EP  - 150
VL  - 196
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm196-2-3/
DO  - 10.4064/sm196-2-3
LA  - en
ID  - 10_4064_sm196_2_3
ER  - 
%0 Journal Article
%A Kunyu Guo
%A Liankuo Zhao
%T On unitary  equivalence  of invariant subspaces of the Dirichlet space
%J Studia Mathematica
%D 2010
%P 143-150
%V 196
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm196-2-3/
%R 10.4064/sm196-2-3
%G en
%F 10_4064_sm196_2_3

Cité par Sources :