Extension of the Beurling’s Theorem
Yousefi, Bahmann ; Hesameddini, Esmaiel
Proc. Japan Acad. Ser. A Math. Sci., Tome 84 (2008) no. 1, p. 167-169 / Harvested from Project Euclid
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Under some conditions on a Hilbert space $H$ of analytic functions on the open unit disc we will show that for every nontrivial invariant subspace $\mathcal{M}$ of $H$, there exists a unique nonconstant inner function $\varphi$ such that $\mathcal{M}=\varphi H$. This extends the Beurling’s Theorem.
Publié le : 2008-09-15
Classification:  Invariant subspaces,  reproducing kernels,  inner functions,  multipliers,  47B37,  47A25 
@article{1225463780,
     author = {Yousefi, Bahmann and Hesameddini, Esmaiel},
     title = {Extension of the Beurling's Theorem},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {84},
     number = {1},
     year = {2008},
     pages = { 167-169},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225463780}
}

Yousefi, Bahmann; Hesameddini, Esmaiel. Extension of the Beurling’s Theorem. Proc. Japan Acad. Ser. A Math. Sci., Tome 84 (2008) no. 1, pp.  167-169. http://gdmltest.u-ga.fr/item/1225463780/