MARC Record from marc_columbia

LEADER: 04429cam a2200625 i 4500
001 15279393
005 20210122151034.0
008 190419t20192019riu b 001 0 eng c
010 $a 2019019109
035 $a(OCoLC)on1099539352
040 $aYUS$beng$erda$cYUS$dOCLCF$dYDX$dGZN$dDLC$dOCLCO$dKSU$dNHM$dMTG$dUKMGB
015 $aGBC024751$2bnb
016 7 $a019713007$2Uk
020 $a9781470450830$q(alk. paper)
020 $a1470450836$q(alk. paper)
035 $a(OCoLC)1099539352
042 $apcc
050 00 $aQA252.5$b.I85 2019
082 00 $a512/.48$bI81j$223
084 $a46G20$a58B12$a53C35$a32M15$a17C65$a57S20$a22E65$a17B65$a46B20$a58B25$2msc
049 $aZCUA
100 1 $aIsidro, José M.,$eauthor.
245 10 $aJordan triple systems in complex and functional analysis /$cJosé M. Isidro.
246 18 $aJordan triple systems in analysis
264 1 $a[Providence, Rhode Island] :$bAmerican Mathematical Society,$c[2019]
264 4 $c©2019
300 $axiii, 560 pages ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aMathematical surveys and monographs ;$vvolume 243
500 $a"Real Sociedad Mathemática Española."
504 $aIncludes bibliographical references (pages 547-556) and index.
520 $aThis book is a systematic account of the impressive developments in the theory of symmetric manifolds achieved over the past 50 years. It contains detailed and friendly, but rigorous, proofs of the key results in the theory. Milestones are the study of the group of holomomorphic automorphisms of bounded domains in a complex Banach space (Vigué and Upmeier in the late 1970s), Kaup's theorem on the equivalence of the categories of symmetric Banach manifolds and that of hermitian Jordan triple systems, and the culminating point in the process: the Riemann mapping theorem for complex Banach spaces (Kaup, 1982). This led to the introduction of wide classes of Banach spaces known as JB*-triples and JBW*-triples whose geometry has been thoroughly studied by several outstanding mathematicians in the late 1980s. The book presents a good example of fruitful interaction between different branches of mathematics, making it attractive for mathematicians interested in various fields such as algebra, differential geometry and, of course, complex and functional analysis.
650 0 $aJordan algebras.
650 0 $aLie algebras.
650 0 $aHermitian symmetric spaces.
650 0 $aFunctional analysis.
650 7 $aFunctional analysis.$2fast$0(OCoLC)fst00936061
650 7 $aHermitian symmetric spaces.$2fast$0(OCoLC)fst00955537
650 7 $aJordan algebras.$2fast$0(OCoLC)fst00983985
650 7 $aLie algebras.$2fast$0(OCoLC)fst00998125
650 7 $aFunctional analysis -- Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) -- Infinite-dimensional holomorphy.$2msc
650 7 $aGlobal analysis, analysis on manifolds -- Infinite-dimensional manifolds -- Questions of holomorphy.$2msc
650 7 $aDifferential geometry -- Global differential geometry -- Symmetric spaces.$2msc
650 7 $aSeveral complex variables and analytic spaces -- Complex spaces with a group of automorphisms -- Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras.$2msc
650 7 $aNonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Jordan structures on Banach spaces and algebras.$2msc
650 7 $aManifolds and cell complexes -- Topological transformation groups -- Noncompact Lie groups of transformations.$2msc
650 7 $aTopological groups, Lie groups -- Lie groups -- Infinite-dimensional Lie groups and their Lie algebras: general properties.$2msc
650 7 $aNonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Infinite-dimensional Lie (super)algebras.$2msc
650 7 $aFunctional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Geometry and structure of normed linear spaces.$2msc
650 7 $aGlobal analysis, analysis on manifolds -- Infinite-dimensional manifolds -- Group structures and generalizations on infinite-dimensional manifolds.$2msc
710 2 $aReal Sociedad Matemática Española.
830 0 $aMathematical surveys and monographs ;$vno. 243.
852 00 $bmat$hQA252.5$i.I85 2019g