Colocality and twisted sums of Banach spaces |
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| Authors: | HM Jebreen D Yost |
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| Institution: | a Department of Mathematics, College of Science, King Saud University, PO Box 2455, Riyadh 11451, Saudi Arabia
b School of Information Technology and Mathematical Sciences, University of Ballarat, PO Box 663, Ballarat, Vic. 3353, Australia |
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| Abstract: | Using the relation between subspaces of Banach spaces and quotients of their duals, we introduce the concept of colocality to give a new method that guarantees the existence of nontrivial twisted sums in which finite quotients play a major role (Theorem 1.7). An interesting point is that no restrictions are imposed on the quotients, only on the various subspaces. New examples of nontrivial twisted sums are given. |
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| Keywords: | Banach space Sequence space Locally bounded space Complemented subspace Three Space problem Operator |
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