##### 泛函分析基础 [^1][^2][^3][^4][^5] >[!cite] 分析无限维向量空间及其上的线性变换 - [[向量空间]] | [[函数空间]] - [[度量空间]] | [[完备度量空间]] - [[赋范向量空间]] | [[巴拿赫空间]] - [[内积空间]] | [[希尔伯特空间]] [^1]: _Introductory Functional Analysis with Applications_, Erwin Kreyszig [^2]: _A Course in Functional Analysis_, John B. Conway [^3]: _Real and Functional Analysis_, Serge Lang [^4]: _Functional Analysis_, Walter Rudin [^5]: _Functional Analysis, Sobolev Spaces and Partial Differential Equations_, Haim Brezis