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Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/AC04737E-BE1D-4F99-9542-AEE7566BFCAA | ||
| Year | 2016 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | A. Manoussakis and A. Pelczar-Barwacz, "Operators in tight by support Banach spaces," J. London Math. Soc., vol. 93, no. 2, pp. 464-480, Apr. 2016. doi: 10.1112/jlms/jdv072 https://doi.org/10.1112/jlms/jdv072 | ||
| Appears in Collections |
Answering the question of W. T. Gowers, we give 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 a space no two isomorphic infinitely dimensional subspaces form a direct sum.
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