شماره ركورد كنفرانس :
4338
عنوان مقاله :
Weak Dunford--Pettis property for closed sublattices
پديدآورندگان :
Ardakani Halimeh halimeh_ardakani@yahoo.com Department of Mathematics, Payame Noor University,Tehran, Iran;
كليدواژه :
Weak Dunford , , Pettis property , almost Dunford , , Pettis operator , discrete Banach lattice
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
For several Banach lattices E and F, if K(E; F) de- notes the space of all compact operators from E to F, it is shown that a necessary and su_x000E_cient condition for a closed subspace M of K(E; F) to have the weak Dunford{Pettis property is that all evaluation operators x : M ! F and y_x0003_ : M ! E_x0003_ are almost Dunford{Pettis operators, where x(T) = Tx and y_x0003_ (T) = T_x0003_y_x0003_ for x 2 E, y_x0003_ 2 F_x0003_ and T 2 M.
