Abstract
Let $T_\phi $ be a Toeplitz operator on the one variable Hardy space $H^2$. We show that if $T_\phi $ has a nontrivial invariant subspace in the set of invariant subspaces of $T_z$ then $\phi $ belongs to $H^\infty $. In fact, we also study such a problem for the several variables Hardy space $H^2$.
Citation
Takahiko Nakazi. "Invariant Subspaces Of Toeplitz Operators And Uniform Algebras." Bull. Belg. Math. Soc. Simon Stevin 15 (1) 1 - 8, February 2008. https://doi.org/10.36045/bbms/1203692442
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