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Dunford-Pettis operator

Last-modified: 2010-09-01 (水) 23:43:07

Definition Edit

  • An operator from one Banach space to another is called a Dunford-Pettis operator provided it carries weak-Cauchy sequences to norm-Cauchy sequences.

Reference Edit

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