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math.FA2013
Basis entropy in Banach spaces
Andrei Dorogovtsev, Mikhail Popov
We introduce and study two notions of entropy in a Banach space X with a normalized Schauder basis . The geometric entropy E(A) of a subset A of X is defined to be the infimum of r…
math.FA2013★ 1 cited
Narrow orthogonally additive operators
Marat Pliev, Mikhail Popov
We extend the notion of narrow operators to nonlinear maps on vector lattices. The main objects are orthogonally additive operators and, in particular, abstract Uryson operators. M…