URI | http://purl.tuc.gr/dl/dias/AC04737E-BE1D-4F99-9542-AEE7566BFCAA | - |
Identifier | https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/jdv072 | - |
Identifier | https://doi.org/10.1112/jlms/jdv072 | - |
Language | en | - |
Extent | 17 pages | en |
Title | Operators in tight by support Banach spaces | en |
Creator | Manousakis Antonios | en |
Creator | Μανουσακης Αντωνιος | el |
Creator | Pelczar-Barwacz Anna | en |
Publisher | Oxford University Press | en |
Content Summary | 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. | en |
Type of Item | Peer-Reviewed Journal Publication | en |
Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
License | http://creativecommons.org/licenses/by/4.0/ | en |
Date of Item | 2018-10-16 | - |
Date of Publication | 2016 | - |
Subject | Banach spaces | en |
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 | en |