1. Introduction | functional Analysis-1 | Prof Khalid скачать в хорошем качестве

1. Introduction | functional Analysis-1 | Prof Khalid

#functionalanalysis #bsmath #mscmath 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