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Ambrozie, Florian-Horia Vasilescu. The aim of this work is to initiate a systematic study of those properties of Banach space complexes that are stable under certain perturbations. A Banach space complex is essentially an object of the form 1 op-l oP +1. --+ XP- --+ XP --+ XP --+. , where p runs a finite or infiniteinterval ofintegers, XP are Banach spaces, and oP : Xp. Xp+1 are continuous linear operators such that OPOp-1 = 0 for all indices p.
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