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weakly pre-compact

Last-modified: 2010-09-01 (水) 23:39:22

Definition Edit

  • A subset S of a Banach space B is weakly pre-compact if and only if for every Banach space X and
    every Dunford-Pettis operator T: B → X, T(S) is a relatively compact subset of S.

Reference Edit

  • Rosenthal, Haskell P., Point-wise compact subsets of the first Baire class., Am. J. Math. 99, 362-378 (1977).