严格奇异算子及其应用
毕业论文关键词 严格奇异算子 紧算子 二阶常微分算子 谱理论 Green 函数
Title Strictly Singular Operators And Its Application
Abstract The concept of a strictly singular operator was introduced by Kato.T in his treatment of perturbation theory. It’s an important tool to deal with integration equation, compact operators and unbounded operators. And in Kato[11],page 288 has shown that the class of strictly singular operators and the class of precompact operators coincide in the space of bounded operators mapping a Hilbert space into a Hilbert space. In the survey of second-order ordinary differential operators, we can find that if λ is a resolvent point, then R(λ,T)is an integral operator of Green function, and itself is a compact operator.
Keywords strictly singular operator compact operator second-order ordinary operator spectrum theory Green function
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