ON LATTICE CHARACTERIZATION OF LP(LQ) SPACES AND THEIR SUBLLATICES

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ON LATTICE CHARACTERIZATION OF LP(LQ) SPACES AND THEIR SUBLLATICES
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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