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math.FA2000
Extremal Approximately Convex Functions and the Best Constants in a Theorem of Hyers and Ulam
S. J. Dilworth, Ralph Howard, James W. Roberts
Let and . A real-valued function defined on the -simplex is approximately convex with respect to iff f(\sum_{i=1}^B t_ix_i) \le \sum_{i=1}^B t…
math.FA2000
A Conditional Quasi-greedy Basis of l_1
S. J. Dilworth, David Mitra
We show that the Lindenstrauss basic sequence in l_1 may be used to construct a conditional quasi-greedy basis of l_1, thus answering a question of Wojtaszczyk. We further show tha…
math.FA2000
Dual Banach spaces which contain an isometric copy of
S. J. Dilworth, Maria Girardi, J. Hagler
A Banach space contains asymptotically isometric copies of if and only if its dual space contains an isometric copy of .