On The Mutually Non Isomorphic L(P)(L(Q)Spaces

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dc.contributor.authorCembranos, Pilar
dc.contributor.authorMendoza Casas, José
dc.date.accessioned2023-06-20T00:09:53Z
dc.date.available2023-06-20T00:09:53Z
dc.date.issued2011-08
dc.description.abstractBanach spaces. Some results on complemented subspaces of l(p)(l(q)) are also given.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14873
dc.identifier.doi10.1002/mana.201010056
dc.identifier.issn0025-584X
dc.identifier.officialurlhttp://onlinelibrary.wiley.com/doi/10.1002/mana.201010056/pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42110
dc.issue.number16
dc.journal.titleMathematische Nachrichten
dc.language.isoeng
dc.page.final2023
dc.page.initial2013
dc.publisherWiley-Blackwell
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordBanach Spaces
dc.subject.keywordIsomorphic Spaces
dc.subject.keywordComplemented Subspace
dc.subject.keywordMathematics
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleOn The Mutually Non Isomorphic L(P)(L(Q)Spaces
dc.typejournal article
dc.volume.number284
dcterms.references[1] F. Albiac and N. J. Kalton, Topics in Banach Space Theory, Graduate Texts in Mathematics Vol. 233 (Springer, New York, 2006). [2] J. Bourgain, P. G. Casazza, J. Lindenstrauss, and L. Tzafriri, Banach Spaces with a Unique Unconditional Basis, up to Permutation, Mem. Am. Math. Soc. 54(322) (1985). [3] P. Cembranos and J. Mendoza, Banach Spaces of Vector-valued Functions, Lecture Notes in Mathematics Vol. 1676 (Springer-Verlag, Berlin 1997). [4] P. Cembranos and J. Mendoza, ∞(1 ) and 1 (∞) are not isomorphic, J. Math. Anal. Appl. 341(1), 295–297 (2008). [5] P. Cembranos and J. Mendoza, The Banach spaces ∞(c0 ) and c0 (∞) are not isomorphic, J. Math. Anal. Appl. 367(2), 361–363 (2010). [6] J. Diestel, H. Jarchow, and A. Tonge, Absolutely Summing Operators, Cambridge Studies in Advanced Mathematics Vol. 43 (Cambridge University Press, Cambridge 1995). [7] W. B. Johnson, A complementary universal conjugate Banach space and its relation to the approximation problem, in: Proceedings of the International Symposium on Partial Differential Equations and the Geometry of Normed Linear Spaces (Jerusalem, 1972), Isr. J. Math. 13, 301–310 (1972). [8] M. I. Kadec and A. Pełczy´nski, Bases, lacunary sequences and complemented subspaces in the spaces Lp , Stud. Math. 21, 161–176 (1961/1962). [9] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, Ergebnisse der Mathematik und ihrer Grenzgebiete Vol. 92 (Springer-Verlag, 1977). [10] J. Motos, M. J. Planells, and C. F. Talavera, On some iterated weighted spaces, J. Math. Anal. Appl. 338, 162–174 (2008). [11] J. Motos and M. J. Planells, On sequence space representations of H¨ormander-Beurling spaces, J. Math. Anal. Appl. 348(1), 395–403 (2008). [12] A. Pełczy´nski, Projections in certain Banach spaces, Stud. Math. 19, 209–228 (1960). [13] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators (VEB Deutscher Verlag der Wissenschaften, Berlin, 1978) and (North-Holland Publishing Co. Amsterdam-New York, 1978) first ed., and (Johann Ambrosius Barth, Heidelberg, 1995) second ed. [14] H. M. Wark, A class of primary Banach spaces, J. Math. Anal. Appl. 326(2), 1427–1436 (2007). [15] P. Wojtaszczyk, Banach Spaces for Analysts, Cambridge Studies in Advanced Mathematics Vol. 25 (Cambridge University Press, Cambridge 1991).
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