Invariant subspaces of the shift plus complex Volterra operator
Invariant subspaces of the shift plus complex Volterra operator
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DOI：
10.1016/j.jmaa.2015.01.056
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发表时间：
2015-01
期刊：
影响因子：
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通讯作者：
vZeljko vCuvckovi'c;B. Paudyal
中科院分区：
文献类型：
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作者：
vZeljko vCuvckovi'c;B. Paudyal
Sarason [8] 完整地描述了作用于 L 2 (0, 1) 的 Volterra 算子的闭不变子空间格。另一方面，他在[9]中明确地找到了L 2 (0, 1)上的移加Volterra算子的闭不变子空间的格子。受 Sarason 结果的启发，我们发现了作用于 Hardy 空间的移加复数 Volterra 算子的闭不变子空间的格子。
The lattice of closed invariant subspaces of the Volterra operator acting on L 2 (0, 1) was completely described by Sarason [8]. On the other hand, he explicitly found the lattice of closed invariant subspaces of the shift plus Volterra operator on L 2 (0, 1) in [9]. Inspired by Sarason's results, we find the lattice of closed invariant subspaces of the shift plus complex Volterra operator acting on the Hardy space.