RT Journal Article
T1 l(q)-structure of variable exponent spaces
A1 Hernández, Francisco L.
A1 Ruiz Bermejo, César
AB 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(.)
PB Elsevier
SN 0022-247X
YR 2012
FD 2012-05-15
LK https://hdl.handle.net/20.500.14352/42249
UL https://hdl.handle.net/20.500.14352/42249
LA eng
DS Docta Complutense
RD 10 may 2025