A. Tcaciuc

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math.FA2009

Almost invariant half-spaces of operators on Banach spaces

George Androulakis, Alexey I. Popov, Adi Tcaciuc +1

We introduce and study the following modified version of the Invariant Subspace Problem: whether every operator T on a Banach space has an almost invariant half-space, that is, a s…

math.FA2008

On Banach Spaces containing $l_{p}$ or $c_{0}$

George Androulakis, Nigel Kalton, Adi Tcaciuc

We use the Gowers block Ramsey theorem to characterize Banach spaces containing isomorphs of $ℓ_{p}$ (for some $1 \leq p < \infty$ ) or $c_{0}$ .

Almost invariant half-spaces of operators on Banach spaces

On Banach Spaces containing lp​ or c0​

On Banach Spaces containing $l_{p}$ or $c_{0}$