02973nam 2200649 450 99646659090331620220905230144.03-540-69519-210.1007/BFb0112511(CKB)1000000000437346(SSID)ssj0000327253(PQKBManifestationID)12049835(PQKBTitleCode)TC0000327253(PQKBWorkID)10301373(PQKB)10063466(DE-He213)978-3-540-69519-6(MiAaPQ)EBC5579461(Au-PeEL)EBL5579461(OCoLC)1066197252(MiAaPQ)EBC6841882(Au-PeEL)EBL6841882(PPN)155169726(EXLCZ)99100000000043734620220905d1997 uy 0engurnn|008mamaatxtccrThree-space problems in Banach space theory /Jesús M.F. Castillo, Manuel González1st ed. 1997.Berlin, Germany ;New York, New York :Springer,[1997]©19971 online resource (XII, 268 p.) Lecture Notes in Mathematics,0075-8434 ;1667Bibliographic Level Mode of Issuance: Monograph3-540-63344-8 Includes bibliographical references (pages [239]-262) and index.Foreword -- Contents -- Three-space constructions: Appendix. L-summands, Appendix. Harte's problem and Taylor's spectrum -- Methods to obtain three-space ideals: Appendix. Applications to three-space results to the opening -- Classical Banach space: Appendix. Banach spaces not isomorphic to their square, Appendix. Being a dual space -- Topological properties of Banach spaces: Appendix. Polynomial properties -- Geometrical properties -- Homological properties -- Approximation properties -- Resume -- Bibliography -- Subject Index.This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples.Lecture notes in mathematics (Springer-Verlag) ;1667.UltraproductsDuality theory (Mathematics)Banach spacesUltraproducts.Duality theory (Mathematics)Banach spaces.510Castillo Jesús M. F.61643González Manuel1957-MiAaPQMiAaPQMiAaPQBOOK996466590903316Three-space problems in banach space theory261829UNISA