Characteristic Conditions for the Generation of α-Times Resolvent Families on a Hilbert Space
Characteristic Conditions for the Generation of α-Times Resolvent Families on a Hilbert Space
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发表时间：
2011
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通讯作者：
Liu;Miao;Li
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作者：
Liu;Miao;Li
2000年，Shi和Feng给出了Hilbert空间上C 0-半群生成的特征条件。在本文中，我们将它们推广到β次预解算子族的生成.利用这些特征条件，可以证明β次预解算子族的秩1扰动定理和相对有界扰动定理。
In 2000, Shi and Feng gave the characteristic conditions for the generation of C0- semigroups on a Hilbert space. In this paper, we will extend them to the generation of �-times resolvent operator families. Such characteristic conditions can be applied to show rank-1 per- turbation theorem and relatively-bounded perturbation theorem for �-times resolvent operator families.