Weak Dunford-Pettis Property for a Closed Sublattice of Compact Operators
DOI:
https://doi.org/10.30495/jme.v9i0.297Keywords:
Weak Dunford-Pettis property, Almost Dunford{Pettis operator, Discrete Banach lattice.Abstract
For several Banach lattices
E and F, if K(E; F
E to F
M of K(E; F
'x : M ! F and y : M ! E
'x(T) = Tx and y (T) = T y
x
2 E, y 2 F and T 2 M
.
for
are
almost Dunford{Pettis operators, where
) to have the weak Dunford{Pettis
property is that all evaluation operators
, it is shown that a necessary and sucient
condition for a closed subspace
) denotes the space
of all compact operators from
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