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- W2950407021 abstract "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 $ell_1$ contains a functions with infinite topological entropy. Also, for any $t in [0, infty]$, we construct a (one-dimensional) Banach space in which any nonzero function has topological entropy equal to $t$." @default.
- W2950407021 created "2019-06-27" @default.
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- W2950407021 date "2011-06-01" @default.
- W2950407021 modified "2023-09-27" @default.
- W2950407021 title "The topological entropy of Banach spaces" @default.
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