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Completeness of the Space of Bounded Linear Operators B(X,Y) | Dimension of the Dual Space | Urdu
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The lecture contains theorems on the Completeness of the Space of all Bounded Linear Operators B(X, Y) from a normed space X to the normed space Y and Dimension of the Dual Space and algebraic dual space in case of a finite-dimensional normed space. We know that on a finite-dimensional normed space all linear operators are bounded that is why in the case of a finite-dimensional normed space algebraic dual space and the dual space coincide.