LEADER 02973nam 2200649 450 001 996466590903316 005 20220905230144.0 010 $a3-540-69519-2 024 7 $a10.1007/BFb0112511 035 $a(CKB)1000000000437346 035 $a(SSID)ssj0000327253 035 $a(PQKBManifestationID)12049835 035 $a(PQKBTitleCode)TC0000327253 035 $a(PQKBWorkID)10301373 035 $a(PQKB)10063466 035 $a(DE-He213)978-3-540-69519-6 035 $a(MiAaPQ)EBC5579461 035 $a(Au-PeEL)EBL5579461 035 $a(OCoLC)1066197252 035 $a(MiAaPQ)EBC6841882 035 $a(Au-PeEL)EBL6841882 035 $a(PPN)155169726 035 $a(EXLCZ)991000000000437346 100 $a20220905d1997 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aThree-space problems in Banach space theory /$fJesu?s M.F. Castillo, Manuel Gonza?lez 205 $a1st ed. 1997. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer,$d[1997] 210 4$dİ1997 215 $a1 online resource (XII, 268 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1667 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-63344-8 320 $aIncludes bibliographical references (pages [239]-262) and index. 327 $aForeword -- 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. 330 $aThis book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1667. 606 $aUltraproducts 606 $aDuality theory (Mathematics) 606 $aBanach spaces 615 0$aUltraproducts. 615 0$aDuality theory (Mathematics) 615 0$aBanach spaces. 676 $a510 700 $aCastillo$b Jesu?s M. F.$061643 702 $aGonza?lez$b Manuel$f1957- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466590903316 996 $aThree-space problems in banach space theory$9261829 997 $aUNISA