Banach Space Complexes formatIsbn:Softcover - 9789401041683 6Internet11

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Banach Space Complexes formatIsbn:Softcover - 9789401041683 6Internet11The 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. In particular, every continuous linear operator S