The topological entropy of Banach spaces
Bobok, Jozef · Bruin, Henk
Original · EN
We investigate some properties of (universal) Banach spaces of real functions in the context of topological entropy. Among other things, we show that any subspace of C([0,1]) which is isometrically isomorphic to ℓ₁ contains a functions with infinite topological entropy. Also, for any t ∈ [0, ∞], we construct a (one-dimensional) Banach space in which any nonzero function has topological entropy equal to t.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.