Introductory Functional Analysis With Applications
Introductory Functional Analysis With Applications
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DOI：
10.2307/3616033
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发表时间：
1978
期刊：
影响因子：
--
通讯作者：
E. Kreyszig
中科院分区：
文献类型：
--
作者：
E. Kreyszig
度量空间赋范空间内积空间Hilbert空间赋范空间和Banach空间的基本定理。其他应用：Banach不动点定理。赋范空间中线性算子的谱理论。赋范空间上的紧线性算子及其谱。有界自伴线性算子的谱理论。Hilbert空间中的无界线性算子。量子力学中的无界线性算子。附录。参考资料。指数.
Metric Spaces. Normed Spaces Banach Spaces. Inner Product Spaces Hilbert Spaces. Fundamental Theorems for Normed and Banach Spaces. Further Applications: Banach Fixed Point Theorem. Spectral Theory of Linear Operators in Normed Spaces. Compact Linear Operators on Normed Spaces and Their Spectrum. Spectral Theory of Bounded Self--Adjoint Linear Operators. Unbounded Linear Operators in Hilbert Space. Unbounded Linear Operators in Quantum Mechanics. Appendices. References. Index.