Spectral Theory of Self-Adjoint Operators
Spectral Theory of Self-Adjoint Operators
复制标题
自伴算子谱论
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
J. Lacroix
中科院分区：
文献类型：
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作者：
R. Carmona;J. Lacroix
本章致力于介绍符号、定义以及后续将需要的泛函分析的大部分结果。由于篇幅有限，我们没有解释我们引入的众多定义背后的动机。我们只是用薛定谔算子的例子来说明它们，并将更详细的研究推迟到第二章。本章不应被理解为对自伴算子谱理论的严肃介绍，而应被理解为术语表以及对后续使用的术语和结果的总结。
The present chapter is devoted to the introduction of the notation, the definitions and most of the results from functional analysis which will be needed in the sequel. Because of lack of space, we refrain from explaining the motivations behind the numerous definitions we introduce. We merely illustrate them with examples of Schrodinger operators and we postpone a more detailed study to Chapter II. Rather than a serious introduction to the spectral theory of self-adjoint operators, this chapter should be understood as a glossary and a summary of the terms and results to be used in the sequel.