Exact(36)
Moreover, it provides a compact map model.
T is a compact map.
Then is a compact map.
Moreover, is a compact map.
Let be a compact map with.
(ii) T is a compact map.
Similar(24)
Then there exists a compact mapping f from the unit ball BX of X to the dual space X⁎ such that infx∈BX∥f(x)∥>0 and ⟨f(x),x⟩<∥f(x)∥ for every x∈BX.
By Lemma 2.4, is a compact mapping.
Let be a normed space with a compact mapping.
We need to prove that H is a compact mapping.
Next we show that N is a compact mapping.
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