科研之友
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摘要
If 21 is a unital weak-* closed algebra of multiplication operators on a reproducing kernel Hilbert space which has the property A(1) (1), then the cyclic invariant subspaces index a Nevanlinna-Pick family of kernels. This yields an NP interpolation theorem for a wide class of algebras. In particular, it applies to many function spaces over the unit disk including Bergman space. We also show that the multiplier algebra of a complete NP space has A(1) (1), and thus this result applies to all of its subalgebras. A matrix version of this result is also established. It applies, in particular, to all unital weak-* closed subalgebras of H (a) acting on Hardy space or on Bergman space.
- 出版日期2011-5
