We prove some exact formulas for the E and K functionals for pairs of the type (X(A),l sub ∞ (B)) where X has the lattice property. These formulas are extensions of their well-known counterparts in the scalar valued case. In particular we generalize formulas by Pisier and by the present author.
@article{urn:eudml:doc:40740, title = {The E and K functionals for the pair (X (A), l$\infty$(B)).}, journal = {Collectanea Mathematica}, volume = {48}, year = {1997}, pages = {479-486}, zbl = {0892.46078}, mrnumber = {MR1602572}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40740} }
Ericsson, Stefan. The E and K functionals for the pair (X (A), l∞(B)).. Collectanea Mathematica, Tome 48 (1997) pp. 479-486. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40740/