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Strict singularity and co-singularity for symmetric sequence spaces

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dc.contributor.authorHernández, Francisco L.
dc.contributor.authorSánchez de los Reyes, Víctor Manuel
dc.contributor.authorSemenov, Evgeny M.
dc.date.accessioned2023-06-20T18:50:25Z
dc.date.available2023-06-20T18:50:25Z
dc.date.issued2003
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGES
dc.description.sponsorshipRFFI
dc.description.sponsorshipUniversities of Russia
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/22805
dc.identifier.issn0041-8986
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58742
dc.issue.number2
dc.journal.titleAtti del Seminario matematico e fisico dell'Università di Modena
dc.language.isoeng
dc.page.final046
dc.page.initial397
dc.publisherSeminario matematico e fisico, Unniversità di Modena
dc.relation.projectIDBMF2001-1284
dc.relation.projectID02-01-00146
dc.relation.projectID04.01.051.
dc.rights.accessRightsrestricted access
dc.subject.cdu512
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleStrict singularity and co-singularity for symmetric sequence spaces
dc.typejournal article
dc.volume.number51
dcterms.referencesS. V. ASTANHKIN, Disjointly strictly singular inclusions of symmetric apaces, Math. Notes, 65 (1999), pp. 3-12. J. BERGH - J. LÖFSTROM,Interpolation spaces. An introduction ,Springer-Verlag (1976). P. G. CASAZZA - BOR-LUH LlN, On symmetric basic sequences in Lorentz sequence spaces II, Israel ,J. Math., 17 (l974), pp. 191-218. F. COBOS - A. MANZANO - A. MARTÍlNEZ - P. MATOS, ON interpolation of strictly singular operators, strictly co-singular operators and related operator ideals. Proc. Roy. Soc. Edinburgh, 130A (2000), pp. 971-989. A. DEFANT - M. MASTYLO - C. MICHELS, Summing inclusion maps between symmetric sequende spaces, a survey. Recent progress in functional analysis (Valencia, 2000, North-Holland Math. Stud., 189 (2001), pp. 43-60. D. PRZEWORSKA-ROLEWICZ - S. ROLEWICZ, Equations in linear spaces, Polish Scientific Publishers (1968). A. K. SNYDER, Strictly (co)singular operators, Illinois J. Math., 33 (1989), pp. 93-102. R. J. WHITLEY, Stricly singular operators and their conjugates, Trans. A.M.S., 113 (1964), pp. 252-261. A. GARCÍA DEl AMO - F. I. HERNÁNDEZ - V. M. SÁNCHEZ - E. M. SEMENOV, Disjointly strictly-singular inclusions between rearrangement invariant spaces, J. London Math. Soc., 62 (2000), pp. 239-252. D.J.H.GARLING,On symmetric sequence spaces.Proc.London Math. Soc., 16 (1966), pp. 85-106. S. HEINRICH, Closed operator ideals and interpolation,J. Funct. Analysis, 35 (1980), pp. 397-411. F. L. HERNÁNDEZ -B. RODRÍGUEZ-SALINAS, On lp-complemented copies in Orliez spaces II, Israel .J. Math., 68 (1989), pp. 27-55. F. L. HERNÁNDEZ - V. M. SÁNCHEZ - E. M. SEMENOV, Disjoint strict singularity of inclusions between rearrangement invariant spaces, Studia Math., 144 (2001), pp. 209-226. N. J. KALTON, Orliez sequence spaces without local convexity, Math. Proc. Cambridge Philos. Soc., 81 (1977), pp. 253-277. S. G. KREIN - J. I. PETUNIN - E.M.SEMENOV, Interpolation of linear opetators, A.M.S. (1982). J. LINDENSTRAUSS - L. TZAFRIRI. Classical Banach spaces I. Sequence spaces, Springer-Verlag (1977). J. LINDENSTRAUSS - L. TZAFRIRI. Classical Banach spaces II. Function spaces, Springer-Verlag (1979). D. NOLL, Strict singularity of inclusion operators between y-spaces and Meyer-König Zeller type theorems, Illinois J. Math., 35 (1991), pp. 93-106. A. PELCZYNSKI, On strictly singular and strictly cosingular operators. II. Strictly singular and strictly cosingular operators in L(v)-spaces, Bull. Acad. Polon. Sci. CI. III, 13 (1965), pp. 37-41
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