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Operators in tight by support Banach spaces

Manousakis Antonios, Pelczar-Barwacz Anna

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URIhttp://purl.tuc.gr/dl/dias/AC04737E-BE1D-4F99-9542-AEE7566BFCAA-
Identifierhttps://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/jdv072-
Identifierhttps://doi.org/10.1112/jlms/jdv072-
Languageen-
Extent17 pagesen
TitleOperators in tight by support Banach spacesen
CreatorManousakis Antoniosen
CreatorΜανουσακης Αντωνιοςel
CreatorPelczar-Barwacz Annaen
PublisherOxford University Pressen
Content SummaryAnswering 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 ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2018-10-16-
Date of Publication2016-
SubjectBanach spacesen
Bibliographic CitationA. 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/jdv072en

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