A Note on Maximal Inner Spaces of the Bergman Space |
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| Authors: | Jun Soo Choa Keiji Izuchi |
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| Institution: | (1) Department of Mathematics Education, Sung Kyun Kwan University, Jongro-gu, Seoul, 110-745, Korea;(2) Department of Mathematics, Niigata University, Niigata 950-2181, Japan |
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| Abstract: | For an invariant subspace I of the Bergman space
on the unit disk D, the associated inner space I  zI has been known to have nice properties K. Zhu has recently given, in terms of kernels of Hankel operators, several characterizations for an inner space to be maximal. We show that maximality of inner spaces can be understood alternatively by use of the adjoint operator of the Bergman shift operator on
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| Keywords: | Primary 47A15 32A35 Secondary 47B35 |
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