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Compact Normed Spaces Completion of metric spaces Completion of normed spaces Compactification Nowhere and everywhere dense sets and category Generated subspaces and closed subspaces Factor Spaces Completeness in the factor spaces Complete Orthonormal set Complete orthonormal sets Total orthonormal sets Parseval’s identity Bessel’s inequality The Specific geometry of Hilbert Spaces Hilbert spaces Bases of Hilbert spaces Cardinality of Hilbert spaces Linear manifolds and subspaces Othogonal subspaces of Hilbert spaces Polynomial bases in 2 L spaces |
Credit hours/ Marks:- 3 |
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