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arXiv · 1504.02701

Operators in tight by support Banach spaces

Antonis Manoussakis·Anna Pelczar-Barwacz
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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.

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Antonis Manoussakis, Anna Pelczar-Barwacz. 2015-04-10. Operators in tight by support Banach spaces. https://doi.org/10.1112/jlms%2Fjdv072

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