RESTRICTION OF THE BERGMAN SHIFT TO AN INVARIANT SUBSPACE

RESTRICTION OF THE BERGMAN SHIFT TO AN INVARIANT SUBSPACE
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DOI:
10.1093/qmath/48.4.519
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发表时间:
1997-12
影响因子:
0.7
通讯作者:
Kehe Zhu
Kehe Zhu
中科院分区:
数学3区
文献类型:
--
作者:
Kehe Zhu

文献摘要

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本文研究了Bergman空间对不变子空间的限制。重点讨论了限制算子的基本问题。阐述了限制算子的几个基本性质,并讨论了相似和拟相似的研究结果。研究了Hilbert空间上有界线性算子的本质谱。
The article presents a research which examines the restriction of the Bergman space to an invariant subspace. Particular focus is given to the basic problems of the restriction operators. It illustrates several basic properties of the restriction operators as well as discusses results of studies on similarity and quasi-similarity. The essential spectrum of a bounded linear operator on a Hilbert space is explored.