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c0, l1 and l∞ in Function Spaces

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dc.contributor.authorCembranos, Pilar
dc.date.accessioned2023-06-20T17:24:22Z
dc.date.available2023-06-20T17:24:22Z
dc.date.issued1997
dc.description.abstractSince the birth of Banach space theory, it has been an important goal to know how are the subspaces of a given Banach space. An interesting part of that study has been focused in the search of criteria for a Banach space to have any of the classical sequence spaces as a subspace. Several deep results have revealed how the presence (or the absence) of such subspaces provides a very good insight in the internal structure of the Banach spaces involved.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación y Ciencia
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/78131
dc.identifier.issn0213-8743
dc.identifier.relatedurlhttps://matematicas.unex.es/~extracta/Extracta_Published_volumes.html#12-2
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58203
dc.issue.number2
dc.journal.titleExtracta Mathematicae
dc.language.isoeng
dc.page.final134
dc.page.initial129
dc.publisherUniversidad de Extremadura, Departamento de Matemáticas
dc.relation.projectIDPB94-0243
dc.rightsAtribución-NoComercial 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by-nc/3.0/es/
dc.subject.cdu517.982.2
dc.subject.keywordSpaces of vector valued functions
dc.subject.keywordNormed linear spaces
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titlec0, l1 and l∞ in Function Spaces
dc.typejournal article
dc.volume.number12
dcterms.references[1] BOMBAL, F., HERNANDO, B., On the injection of a Kothe function space into Li(/z), Annul. Soc. Math. Polon. Serial: Commentationes Math., 25 (1995), 49-60. [2] BOURGAIN, J., The Komlos theorem for vector valued functions, unpublished (1979). [3] FAKHOURY, H., Selections lineaires associees au Theoreme de Hahn-Banch, J. Fund. Anal., 11 (1972), 436-452. [4] Godefroy, G., Kalton, N.J., SAPHAR, P.D., Unconditional ideals in Banach spaces, Studia Math., 104 (1993), 13-59. [5] HENSGEN, W., Some properties of the vector-valued Banach ideal space E(X) derived from those of E and X, Colledanea Math., 43 (1992), 1-13. [6] KADEC, M.I., PELCZYNSKI, A., Bases, lacunary sequences and complemented subspaces in the spaces Lp, Studia Math., 21 (1962), 1-13. [7] KALTON, N.J., Locally complemented subspaces and £p-spaces for 0 < p < 1, Math. Nachr., 115 (1984), 71-97. [8] MENDOZA, J., Copies of Classical Sequences Spaces in Vector-Valued Function Banach Spaces, in “Function Spaces the Second Conference”, Lecture Notes in Pure and Applied Mathematics (K. Jarosz, ed.), Vol. 172, Marcel Dekker, 1995, 311-320. [9] RAYNAUD, Y., Sur les sous-espaces de Lp(Lq), in “Seminaire d’Analyse Fonctionelle 1984/85”, Publ. Math. Univ. Paris VII, 26, Univ. Paris VII, Paris, 1986, 49-71.
dspace.entity.typePublication

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