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Covers metric, topological, normed, and Hilbert spaces; bounded linear operators; Hamel, Schauder, and Hilbert bases. Theorems include Banach fixed point, Baire's category, Banach-Steinhaus, open mapping, Weierstrass approximation, Stone-Weierstrass, Baire-Osgood, Muntz. Appendix gives background on set theory and linear algebra. Index and appoximately 120 pages of solutions to odd-numbered exercises
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Editions
1 edition- Hardcover · English · 2006Matrix Editions · 650 pages · 9780971576612
Functional analysisTopology.Linear AlgebrasReal analysislinear algebraMathematical analysisMathematical statistics