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摘要
We provide a unified approach to fiber dimension of invariant subspaces in vector-valued analytic function spaces. Based on an elementary observation on linear equations, it is shown that the fiber dimension is an additive invariant for multiplier invariant subspaces in case the function space admits a complete Nevanlinna-Pick kernel, and a similar approach applies to give new simple proofs of two important theorems on fiber dimension recently established relating respectively to the cellular indecomposable property and the transitive algebra problem.
- 出版日期2015
- 单位天津大学
