The weak metric approximation property and ideals of operators |
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| Authors: | Vegard Lima |
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| Institution: | Mathematics Department, 202 Mathematical Sciences Bldg, University of Missouri, Columbia, MO 65211, USA |
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| Abstract: | We study the weak metric approximation property introduced by Lima and Oja. We show that a Banach space X has the weak metric approximation property if and only if F(Y,X), the space of finite rank operators, is an ideal in W(Y,X∗∗), the space of weakly compact operators for all Banach spaces Y. |
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| Keywords: | Approximation properties Unique extension property Hahn-Banach extension operators |
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