Dunford–Pettis property
In functional analysis, the Dunford–Pettis property, named after Nelson Dunford and B. J. Pettis, is a property of a Banach space stating that all weakly compact operators from this space into another Banach space are completely continuous. Many standard Banach spaces have this property, most notably, the space C ( K ) {\displaystyle C(K)} of continuous functions on a compact space and the space L 1 ( μ ) {\displaystyle L^{1}(\mu )} of the Lebesgue integrable functions on a measure space.