Hyponormal Toeplitz operators and extremal problems of Hardy spaces

Hyponormal Toeplitz operators and extremal problems of Hardy spaces
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DOI:
10.1090/s0002-9947-1993-1162103-7
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发表时间:
1992-04
期刊:
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影响因子:
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通讯作者:
T. Nakazi;Katsutoshi Takahashi
T. Nakazi;Katsutoshi Takahashi
中科院分区:
其他
文献类型:
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作者:
T. Nakazi;Katsutoshi Takahashi

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完整地描述了亚正规Toeplitz算子的符号,并研究了亚正规Toeplitz算子的符号与哈代空间极值问题的关系.此外,当自换位子为有限秩时,我们讨论了次正规Toeplitz算子的Halmos问题
The symbols of hyponormal Toeplitz operators are completely described and those are also studied, being related with the extremal problems of Hardy spaces. Moreover, we discuss Halmos's question about a subnormal Toeplitz operator when the self-commutator is finite rank