| J rgens结果的一个新证明 |
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| 引用本文： | 邵琛,许跟起.J rgens结果的一个新证明[J].数学的实践与认识,2004(9). |
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| 作者姓名： | 邵琛 许跟起 |
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| 作者单位： | 哈尔滨理工大学信息与计算科学系 黑龙江哈尔滨150080
(邵琛)，天津大学数学系 天津300072(许跟起) |
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| 摘 要： | 文章研究有界线性算子半群的扰动问题 .在一定条件下 ,我们表明 :设算子 B生成最终依范连续半群 S(t) (t τ) ,K是有界线性算子 .如果‖ K R(σ+iτ,B) K‖→ 0 ,τ→∞ ,那么算子 A =B +K生成的半群 T(t) ,t>2τ是依范连续的 .我们将此结果应用于迁移算子 ,给出 J rgens结果的一个新证明 .
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| 关 键 词： | 依范连续半群 扰动 迁移算子 |
A New Proof of Jorgens′s Result |
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| SHAO Chen ,XU Gen-qi.A New Proof of Jorgens′s Result[J].Mathematics in Practice and Theory,2004(9). |
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| Authors: | SHAO Chen XU Gen-qi |
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| Institution: | SHAO Chen 1,XU Gen-qi 2 |
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| Abstract: | The perturbation problem of bounded linear operator semigroup is studied in the present paper. Under some conditions we show that if B generates the semigroup S(t) that is continuous in the sense of norm for tτ, and K is bounded linear operator satisfying‖KR(σ+iτ, B)K‖→0, τ→∞then the semigroup generated by A=B+K also is continuous in the sense of norm for t2τ. We apply this result to transport and give a new proof of Jorgens′s result. |
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| Keywords: | eventually continuous semigroup perturbation transport operator |
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