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Right and Left Weak Approximation Properties in Banach Spaces

  Published:2009-03-01
 Printed: Mar 2009
  • Changsun Choi
  • Ju Myung Kim
  • Keun Young Lee
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Abstract

New necessary and sufficient conditions are established for Banach spaces to have the approximation property; these conditions are easier to check than the known ones. A shorter proof of a result of Grothendieck is presented, and some properties of a weak version of the approximation property are addressed.
Keywords: approximation property, quasi approximation property, weak approximation property approximation property, quasi approximation property, weak approximation property
MSC Classifications: 46B28, 46B10 show english descriptions Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20]
Duality and reflexivity [See also 46A25]
46B28 - Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20]
46B10 - Duality and reflexivity [See also 46A25]
 

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