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Operators in tight by support Banach spaces | | Antonis Manoussakis
; Anna Pelczar-Barwacz
; | | Date: |
10 Apr 2015 | | Abstract: | We answer the question of W.T. Gowers, giving an example of a bounded
operator on a subspace of Gowers unconditional space which is not a strictly
singular perturbation of a restriction of a diagonal operator. We make some
observations on operators in arbitrary tight by support Banach space, showing
in particular that in such space no two isomorphic infinitely dimensional
subspaces form a direct sum. | | Source: | arXiv, 1504.2701 | | Services: | Forum | Review | PDF | Favorites | |
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