THE ALTERNATIVE DUNFORD-PETTIS PROPERTY IN SUBSPACES OF OPERATOR IDEALS
THE ALTERNATIVE DUNFORD-PETTIS PROPERTY IN SUBSPACES OF OPERATOR IDEALS
For several Banach spaces X and Y and operator ideal <TEX>$\cal{U}$</TEX>, if <TEX>$\cal{U}$</TEX>(X, Y) denotes the component of operator ideal <TEX>$\cal{U}$</TEX>; according to Freedman's definitions, it is shown that a necessary and sufficient condition for a closed subspace <TEX>$\cal{M}$</TEX> of <TEX>$\cal{U}$</TEX>(X, Y) to have the alternative Dunford-Pettis property is that …