01105nam a22002531i 450099100260551970753620030728165132.0030925s1988 it |||||||||||||||||ita b12312526-39ule_instARCHE-036006ExLBiblioteca InterfacoltàitaA.t.i. Arché s.c.r.l. Pandora Sicilia s.r.l.871.01Solimano, Giannina167638Epistula Didonis ad Aeneam /introduzione, testo, traduzione e commento a cura di Giannina Solimano[Genova] :Dipartimento di archeologia, filologia classica e loro tradizioni,1988129 p. ;22 cmPubblicazioni del DARFICLET.Nuova serie ;114Università degli Studi <Genova> :Facoltà di lettere e filosofia.b1231252602-04-1408-10-03991002605519707536LE002 Ann. 244/11412002000185310le002-E0.00-l- 01010.i1270954208-10-03Epistula Didonis ad Aeneam162109UNISALENTOle00208-10-03ma -itait 0104159nam 2200757 a 450 991113198530332120260415140134.09783110263343311026334310.1515/9783110263343(CKB)2550000001096628(EBL)893867(OCoLC)826479699(SSID)ssj0000833721(PQKBManifestationID)11411976(PQKBTitleCode)TC0000833721(PQKBWorkID)10936099(PQKB)10164674(MiAaPQ)EBC893867(DE-B1597)172141(OCoLC)853248751(OCoLC)987750987(DE-B1597)9783110263343(Au-PeEL)EBL893867(CaPaEBR)ebr10649212(CaONFJC)MIL503162(PPN)175558302(Perlego)653116(EXLCZ)99255000000109662820121026d2013 uy 0engur|n|---|||||txtccrNarrow operators on function spaces and vector lattices /Mikhail Popov, Beata Randrianantoanina1st ed.Berlin De Gruyter20131 online resource (336 p.)De Gruyter Studies in Mathematics ;45De Gruyter studies in mathematics,0179-0986 ;45Description based upon print version of record.9783110263039 3110263033 9781299719118 1299719112 Includes bibliographical references and indexes. Frontmatter -- Preface -- Contents -- Chapter 1. Introduction and preliminaries -- Chapter 2. Each "small" operator is narrow -- Chapter 3. Some properties of narrow operators with applications to nonlocally convex spaces -- Chapter 4. Noncompact narrow operators -- Chapter 5. Ideal properties, conjugates, spectrum and numerical radii of narrow operators -- Chapter 6. Daugavet-type properties of Lebesgue and Lorentz spaces -- Chapter 7. Strict singularity versus narrowness -- Chapter 8. Weak embeddings of L1 -- Chapter 9. Spaces X for which every operator T ∈ ℒ (Lp;X) is narrow -- Chapter 10. Narrow operators on vector lattices -- Chapter 11. Some variants of the notion of narrow operators -- Chapter 12. Open problems -- Bibliography -- Index of names -- Subject indexMost classes of operators that are not isomorphic embeddings are characterized by some kind of a "smallness" condition. Narrow operators are those operators defined on function spaces that are "small" at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems. De Gruyter Studies in MathematicsNarrow operatorsRiesz spacesFunction spacesNarrow operators.Riesz spaces.Function spaces.515/.73SK 600rvkPopov Mykhaĭlo MykhaĭlovychRandrianantoanina BeataMiAaPQMiAaPQMiAaPQBOOK9911131985303321UNINA