On unconditional banach space ideal property
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Abstract
Let denote the assignment which associates with each pair of Banach spaces the vector space and be the space of all compact linear operators from . Let and suppose converges in the dual weak operator topology Denote by the finite number given by. The u-norm on is then given by. It has been shown that is a banach operator ideal. We find conditions for to be an unconditional ideal in
Description
Paper presented at Strathmore International Math Research Conference on July 23 - 27, 2012
Let denote the assignment which associates with each pair of Banach spaces the vector space and be the space of all compact linear operators from . Let and suppose converges in the dual weak operator topology Denote by the finite number given by. The u-norm on is then given by. It has been shown that is a banach operator ideal. We find conditions for to be an unconditional ideal in
Let denote the assignment which associates with each pair of Banach spaces the vector space and be the space of all compact linear operators from . Let and suppose converges in the dual weak operator topology Denote by the finite number given by. The u-norm on is then given by. It has been shown that is a banach operator ideal. We find conditions for to be an unconditional ideal in
Keywords
Ideal projection, Separable reflexive space, Unconditional compact approximation property (UKAP), U-ideal.