Unconditional ideals of finite rank operators |
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| Authors: | Trond A. Abrahamsen Åsvald Lima Vegard Lima |
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| Affiliation: | (1) Department of Mathematics, University of Agder, Servicebox 422, 4604 Kristiansand, Norway;(2) Mathematics Department, University of Missouri, 202 Mathematical Sciences Bldg, Columbia, MO 652 11, USA |
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| Abstract: | Let X be a Banach space. We give characterizations of when  is a u-ideal in  for every Banach space Y in terms of nets of finite rank operators approximating weakly compact operators. Similar characterizations are given for the cases when  is a u-ideal in  for every Banach space Y, when  is a u-ideal in  for every Banach space Y, and when  is a u-ideal in  for every Banach space Y. |
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| Keywords: | u-ideals finite rank, compact, and weakly compact operators Hahn-Banach extension operators |
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