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Hernández, Francisco L. and Ruiz Bermejo, César (2012) l(q)-structure of variable exponent spaces. Journal of Mathematical Analysis and Applications, 389 (2). pp. 899-907. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X11011504
Abstract
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(.)
Item Type: | Article |
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Uncontrolled Keywords: | Orlicz sequence-spaces; copies; variable exponent spaces; isomorphic l(p)-copies; bounded projections |
Subjects: | Sciences > Mathematics > Mathematical analysis |
ID Code: | 15969 |
Deposited On: | 16 Jul 2012 11:41 |
Last Modified: | 27 Jun 2018 07:25 |
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