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
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 $\mathcal{M}_1=\mathcal{M}_2$.
Keywords:
shown dirichlet space mathcal invariant subspaces mathcal mathcal dirichlet shift unitarily equivalent only mathcal mathcal
Affiliations des auteurs :
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
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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
