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Property (wM*) and the unconditional metric compact approximation property

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The main objective of this paper is to give a simple proof for a larger class of spaces of the following theorem of Kalton and Werner. (a) X has property (M*), and (b) X has the metric compact approximation property Our main tool is a new property (wM*) which we show to be closely related to the unconditional metric approximation property.
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  • Department of Mathematics, Agder College 65, Tordenskjoldsgate, N-4604 Kristiansand, Norway,
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