l(q)-structure of variable exponent spaces
| dc.contributor.author | Hernández, Francisco L. | |
| dc.contributor.author | Ruiz Bermejo, César | |
| dc.date.accessioned | 2023-06-20T00:14:19Z | |
| dc.date.available | 2023-06-20T00:14:19Z | |
| dc.date.issued | 2012-05-15 | |
| dc.description.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(.) | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15969 | |
| dc.identifier.doi | 10.1016/j.jmaa.2011.12.033 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022247X11011504 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42249 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 907 | |
| dc.page.initial | 899 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | MTM2008-02652 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.982.27 | |
| dc.subject.cdu | 517.982.2 | |
| dc.subject.keyword | Orlicz sequence-spaces | |
| dc.subject.keyword | copies | |
| dc.subject.keyword | variable exponent spaces | |
| dc.subject.keyword | isomorphic l(p)-copies | |
| dc.subject.keyword | bounded projections | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | l(q)-structure of variable exponent spaces | |
| dc.type | journal article | |
| dc.volume.number | 389 | |
| dcterms.references | C. Bennett, R. Sharpley, Interpolation of Operators, Academic Press, 1988. S. Chen, Geometry of Orlicz spaces, Dissertationes Math. 356 (1996). L. Diening, P. Harjulehto, P. Hästö, M. Ružička, Lebesgue and Sobolev Spaces with Variable Exponents, Lecture Notes in Math., vol. 2017, Springer, 2011. S. Guerre-Delabrière, Classical Sequences in Banach Spaces, Marcel Dekker, 1992. F.L. Hernández, B. Rodriguez-Salinas, Remarks on the Orlicz function spaces Lϕ(0,∞), Math. Narch. 156 (1992) 225–232. H. Hudzik, On some equivalent conditions in Musielak–Orlicz spaces, Comment. Math. (Prace Mat.) 24 (1984) 57–64. W.B. Johnson, B. Maurey, G. Schechtman, L. Tzafriri, Symmetric structures in Banach spaces, Mem. Amer. Math. Soc. 19 (1979). A. Kaminska, Flat Orlicz–Musielak sequence spaces, Bull. Acad. Pol. Sci., Sér. Sci. Math. 30 (1982) 347–352. A. Kaminska, Indices, convexity and concavity in Musielak–Orlicz spaces, Funct. Approx. Comment. Math. 26 (1998) 67–84 (special issue dedicated to J. Musielak). A. Kaminska, B. Turet, Type and cotype in Musielak–Orlicz spaces, Lecture Notes London Math. Soc. 138 (1990) 165–180. O. Kovacik, J. Rakosnik, On spaces Lp(x) and Wk,p(x) , Czechoslovak Math. J. 41 (1991) 592–618. M.A. Krasnosel’skii, Y. Rutickii, Convex Functions and Orlicz Spaces, P. Noordhoff Ltd., 1961. J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces III, Israel J. Math. 14 (1973) 368–389. J. Lindenstrauss, L. Tzafriri, Classical Banach Spaces I, Springer-Verlag, 1977. J. Lindenstrauss, L. Tzafriri, Classical Banach Spaces II, Springer-Verlag, 1979. J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Math., vol. 1034, Springer, 1983. V. Peirats, Espacios modulares de sucesiones vectoriales. Subespacios, Ph.D. Thesis, Madrid Complutense University, 1986 (in Spanish). V. Peirats, C. Ruiz, On lp -copies in Musielak–Orlicz sequence spaces, Arch. Math. 58 (1992) 164–173. L.P. Poitevin, Y. Raynaud, Ranges of positive contractive projections in Nakano spaces, Indag. Math. 19 (2008) 441–464. M. Ružička, Electrorheological Fluids: Modeling and Mathematical Theory, Lecture Notes in Math., vol. 1748, Springer, 2000. C. Samuel, Sur la reproductibilite des espaces lp , Math. Scand. 45 (1979) 103–117. W. Wnuk, Banach lattices with properties of the Schur type – A survey, Conf. Sem. Math. Univ. Bari 249 (1993), 25 pp. J.Y. Wood, On modular sequence spaces, Studia Math. 48 (1973) 271–289. B. Zlatanov, Schur property and lp isomorphic copies in Musielak–Orlicz sequence spaces, Bull. Aust. Math. Soc. 75 (2007) 193–210. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 99883408-190b-4f61-be14-23d8126a2710 | |
| relation.isAuthorOfPublication.latestForDiscovery | 99883408-190b-4f61-be14-23d8126a2710 |
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