| 申俊丽,阿拉坦仓.拟--仿正规算子的谱性质[J].数学年刊A辑,2013,34(6):663~670 |
| 拟--仿正规算子的谱性质 |
| The Spectral Properties of Quasi- -paranormal Operators |
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| DOI： |
| 中文关键词: 拟-*-仿正规算子, 单值扩展性质, 极, Weyl型定理 |
| 英文关键词:Quasi-?-paranormal operators, Single-valued extension property,
Polaroid, Weyl type theorem |
| 基金项目:国家自然科学基金(No.11371185), 内蒙古自然科学基金重大项目 (No.2013ZD01) 和内蒙古大学提升综合实力项目 (No.14020202) |
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| 中文摘要: |
| 证明了拟-*-仿正规压缩算子是酉算子与完全非酉$C_{.0}$-压缩算子的直和.
并证明了若T是代数拟-*-仿正规算子,
则T有单值扩展性质 (简记为 SVEP) 且是极. 作为这些性质的应用, 研究了此类算子的Weyl型定理. |
| 英文摘要: |
| The authors show that the quasi-?-paranormal contraction is the direct sum
of a unitary and a C.0 completely non-unitary contraction. It is proved that if T is an
algebraically quasi-?-paranormal operator, then T has the single-valued extension property
(SVEP, for short) and T is a polaroid. As an application of these properties, Weyl type
theorem is studied. |
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