The Analytic Invariant Subspace of the n-Tuple of Commuting Operators

Citation:

Zou Chengzu,Li liangqing.The Analytic Invariant Subspace of the n-Tuple of Commuting Operators[J].Chinese Annals of Mathematics B,1987,8(1):56~64
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Authors:

Zou Chengzu; Li liangqing
Abstract: In this paper, the authors extend the concept of analytic invariant subspace to the case of n-tuple of commuting operators. The analytic invariant subspace is better than spectral maximal space in some aspects. This provides a class of invariant subspaee, which is helpful to the study of decomposable theory for n-tuple operators.

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