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Semi-norms Semi norms, locally convex Spaces Quasi normed linear spaces Bounded linear functionals Hahn Banach theorem Conjugate spaces Second conjugate space of p l The Riesz representation theorem for linear functionals on a Hilbert spaces Conjugate space of Ca,b A representation theorem for bounded linear functionals on Ca,b Uniform Boundedness Weak convergence The Principle of uniform boundedness Consequences of the principle of uniform boundedness Graph of a mapping and closed graph theorem Linear transformation and complete continuity The closure of linear transformation The class of linear transformations that admit a closure |
Credit hours/ Marks:- 3 |
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