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- W2022683913 abstract "We prove that if for a bounded function f defined on a compact space K there exists a bounded sequence (fn) of continuous functions, with spreading model of order , 1 co' (the index rND as defined by A. Kechris and A. Louveau). As a corollary of this result we have that the Banach spaces Ve,(K), 1 4 . Defining the notion of nullcoefficient sequences of order , 1 < 4 < coI, we prove that every bounded sequence (fn) of continuous functions converging pointwise to a function f with rND (f) < co$ is a null-coefficient sequence of order . As a corollary to this we have the following co-spreading model theorem: Every nontrivial, weak-Cauchy sequence in a Banach space either has a convex block subsequence generating a spreading model equivalent to the summing basis of co or is a nullcoefficient sequence of order 1." @default.
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- W2022683913 date "1994-02-01" @default.
- W2022683913 modified "2023-09-26" @default.
- W2022683913 title "Classifications of Baire-$1$ functions and $csb 0$-spreading models" @default.
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