ON LATTICE CHARACTERIZATION OF Lp(Lq) SPACES AND THEIR SUBLLATICES
YVES RAYNAUD
UNIVERSIDAD DE PARIS VI (FRANCIA)
ABSTRACT: We characterize the class of sublattices of the mixed norm space Lp(Lq) by a system of axioms, using the theory of negative definite functions on semi-groups. A characterization of the class of Lp(Lq) bands will also be given.
Tags: characterization of, a characterization, lattice, lp(lq), spaces, characterization, their, subllatices