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Metric Space Review of metric spaces Convergence in metric spaces Complete metric spaces Completeness proofs Dense sets and separable spaces No-where dense sets Baire category theorem Normed Spaces Normed linear spaces Banach spaces Convex sets Quotient spaces Equivalent norms Linear operators Linear functionals Finite dimensional normed spaces Continuous or bounded linear operators Dual spaces Inner Product Spaces Definition and examples Orthonormal sets and bases Annihilators, projections Hilbert space Linear functionals on Hilbert spaces Reflexivity of Hilbert spaces |
Credit hours/ Marks:- 3 |
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