Technical University of Crete

output

19982026

most citedSpectral signatures of many-body localization with interacting photons

482 citations

Showing math.FAShow all

6 papers · 1 filter

math.FA2016

An Indecomposable and unconditionally saturated Banach space

Spiros A. Argyros, A. Manoussakis

We construct an indecomposable reflexive Banach space $X_{i u s}$ such that every infinite dimensional closed subspace contains an unconditional basic sequence. We also show that eve…

math.FA2016★ 3 cited

Unconditionally saturated Banach space with the scalar-plus-compact property

Antonis Manoussakis, Anna Pelczar-Barwacz, Michał Świȩtek

We construct a Bourgain-Delbaen $L_{\infty}$ -space $X_{K u s}$ with strongly heterogenous structure: any bounded operator on $X_{K u s}$ is a compact pert…

math.FA2015★ 1 cited

Operators in tight by support Banach spaces

Antonis Manoussakis, Anna Pelczar-Barwacz

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 restri…

math.FA2013

Types of tightness in spaces with unconditional basis

A. Manoussakis, A. Pelczar-Barwacz

We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal list within the framework of Gowers…

math.FA2012★ 4 cited

Strictly singular non-compact operators on a class of HI spaces

Antonis Manoussakis, Anna Pelczar-Barwacz

We present a method for constructing bounded strictly singular non-compact operators on mixed Tsirelson spaces defined either by the families (A_n) or (S_n) of a certain class, as…

math.FA2008

Quasiminimality in mixed Tsirelson spaces

Antonis Manoussakis, Anna Maria Pelczar

We prove quasiminimality of the regular mixed Tsirelson spaces T[(S_n,θ_n)_n] with the sequence (\frac{θ_n}{θ^n})_n decreasing, where θ=\lim_n θ_n^{1/n}, and quasiminimality of all…