Abstract
We characterize norm closed subspaces B of L∞(∂D) such that C(∂D)B ⊂ B and maximal ones in the family of proper closed subspaces B of L∞(∂D) such that A(D)B ⊂ B, where A(D) is the disk algebra. Analogously, we characterize closed subspaces of H ∞ that are simultaneously invariant under S and S*, the forward and the backward shift operators, and maximal invariant subspaces of H∞.
Original language | English |
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Pages (from-to) | 399-404 |
Journal | Glasgow Mathematical Journal |
Volume | 46 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 May 2004 |