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- W2075332534 abstract "It is proved that every closed convex non-R.N.P. set in a Banach space contains a non-dentable subset with a martingale coordinatization. Thus we answer affirmatively a question posed by H. Rosenthal and A. Wessel. The proof depends on the concept of the Convex Finite-Dimensional Schauder Decomposition (C.F.D.S.D.) introduced and investigated in the present paper. Certain partial positive results are also given related to the following fundamental problem: every closed convex set either is R.N.P. or it contains a closed subset with a Pal-representation" @default.
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- W2075332534 date "1992-09-01" @default.
- W2075332534 modified "2023-10-04" @default.
- W2075332534 title "Representations of convex nondentable sets" @default.
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- W2075332534 doi "https://doi.org/10.2140/pjm.1992.155.29" @default.
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