The space BL(X, Y) of all bounded linear functions from X to Y is a normed linear
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It is a Banach space (complete normed linear space) if Y is complete. The following proposition is an important result regarding bounded linear functions.
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f|| = sup{ ||f(x)|| || = 1}
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is a norm Let Clearly Further for every Finally for every verifying the triangle inequality There is ...View the full answer
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