| 商不可分解Banach空间上线性算子的谱 |
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| 引用本文： | 苏维钢.商不可分解Banach空间上线性算子的谱[J].东北数学,2006,22(2):233-240. |
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| 作者姓名： | 苏维钢 |
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| 作者单位： | School of |
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| 基金项目： | The NSF (10471025) of China and the NSF (Z0511019) of Fujian Province in China. |
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| 摘 要： | This paper discusses the special properties of the spectrum of linear operators (in particular, bounded linear operators) on quotient indecomposable Banach spaces; shows that in such spaces generators of Co-groups are always bounded linear operators, and that generators of Co-semigroups satisfy the spectral mapping theorem; and gives an example to show that the generators of Co-semigroups in quotient indecomposable spaces are not necessarily bounded.
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| 关 键 词： | Banach空间 光谱 商不可分解 数学分析 |
The Spectrum of Linear Operators on Quotient Indecomposable Banach Spaces |
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| SU Wei-gang.The Spectrum of Linear Operators on Quotient Indecomposable Banach Spaces[J].Northeastern Mathematical Journal,2006,22(2):233-240. |
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| Authors: | SU Wei-gang |
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| Institution: | School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350007 |
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| Abstract: | This paper discusses the special properties of the spectrum of linear operators (in particular, bounded linear operators) on quotient indecomposable Banach spaces; shows that in such spaces generators of Co-groups are always bounded linear operators, and that generators of Co-semigroups satisfy the spectral mapping theorem; and gives an example to show that the generators of Co-semigroups in quotient indecomposable spaces are not necessarily bounded. |
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| Keywords: | Banach space quotient indecomposable spectrum generator |
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