Person:
Ruiz Bermejo, César

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First Name
César
Last Name
Ruiz Bermejo
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Informática
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
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  • Publication
    l(q)-structure of variable exponent spaces
    (Elsevier, 2012-05-15) Hernández, Francisco L.; Ruiz Bermejo, César
    It is shown that a separable variable exponent (or Nakano) function space L-p(.)(Ω) has a lattice-isomorphic copy of l(q) if and only if q is an element of Rp(.), the essential range set of the exponent function p(.). Consequently Rp(.) is a lattice-isomorphic invariant set. The values of q such that l(q) embeds isomorphically in L-p(.)(Ω) is determined. It is also proved the existence of a bounded orthogonal l(q)-projection in the space L-p(.)(Ω), for every q is an element of Rp(.)