Right and Left Weak Approximation Properties in Banach Spaces
Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 28-38
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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.
Mots-clés :
46B28, 46B10, approximation property, quasi approximation property, weak approximation property
Choi, Changsun; Kim, Ju Myung; Lee, Keun Young. Right and Left Weak Approximation Properties in Banach Spaces. Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 28-38. doi: 10.4153/CMB-2009-004-5
@article{10_4153_CMB_2009_004_5,
author = {Choi, Changsun and Kim, Ju Myung and Lee, Keun Young},
title = {Right and {Left} {Weak} {Approximation} {Properties} in {Banach} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {28--38},
year = {2009},
volume = {52},
number = {1},
doi = {10.4153/CMB-2009-004-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-004-5/}
}
TY - JOUR AU - Choi, Changsun AU - Kim, Ju Myung AU - Lee, Keun Young TI - Right and Left Weak Approximation Properties in Banach Spaces JO - Canadian mathematical bulletin PY - 2009 SP - 28 EP - 38 VL - 52 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-004-5/ DO - 10.4153/CMB-2009-004-5 ID - 10_4153_CMB_2009_004_5 ER -
%0 Journal Article %A Choi, Changsun %A Kim, Ju Myung %A Lee, Keun Young %T Right and Left Weak Approximation Properties in Banach Spaces %J Canadian mathematical bulletin %D 2009 %P 28-38 %V 52 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-004-5/ %R 10.4153/CMB-2009-004-5 %F 10_4153_CMB_2009_004_5
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