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Tagged with dual-maps hahn-banach-theorem
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If two elements are different there is a functional under where the image is different
I have the following exercise in functional analysis:
Let E be a normed space and $x,y$ different vectors. Prove or disprove finding a counterexample that it exist a function $f \in E^*$ such that $f(...
- 583
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Norm of the Dual Transform = Norm of the Transform?
For a continuous (bounded) linear transformation $T$ between vector spaces $T: V \to W$ the dual transformation is defined between their continuous dual spaces as $T' : W' \to V'$ where $T'(w'(v)) = w'...
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