文件名称：linear analysis
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更新时间：2021-11-08 04:59:05
FUNCTIONa
Preface ix 1. Basic inequalities I 2. Normed spaces and bounded linear operators 18 3. Linear functionals and the Hahn—Banach theorem 45 4. Finite-dimensional normed spaces 60 5. The Baire category theorem and the closed-graph theorem 75 6. Continuous functions on compact spaces and the Stone— Weierstrass theorem 85 7. The contraction-mapping theorem 101 8. Weak topologies and duality 114 9. Euclidean spaces and Hubert spaces 130 10. Orthonormal systems 141 11. Adjoint operators 155 12. The algebra of bounded linear operators