Operators in tight by support Banach spaces

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

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