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010   $a3-319-33572-3
024 7 $a10.1007/978-3-319-33572-8
035   $a(CKB)3710000000765132
035   $a(DE-He213)978-3-319-33572-8
035   $a(MiAaPQ)EBC4613351
035   $a(PPN)19451692X
035   $a(EXLCZ)993710000000765132
100   $a20160726d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aOpen Problems in the Geometry and Analysis of Banach Spaces /$fby Antonio J. Guirao, Vicente Montesinos, Václav Zizler
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (XII, 169 p. 1 illus.) 
311   $a3-319-33571-5 
320   $aIncludes bibliographical references and indexes.
327   $aPreface -- Basic linear structure -- Basic linear geometry -- Biorthogonal systems -- Smoothness, smooth approximation -- Nonlinear geometry -- Some more nonseparable problems -- Some applications -- Bibliography -- List of concepts and problems -- Symbol index -- Subject index. .
330   $aThis is a collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry. The main purpose of this work is to help convince young researchers in Functional Analysis that the theory of Banach spaces is a fertile field of research, full of interesting open problems. Inside the Banach space area, the text should help expose young researchers to the depth and breadth of the work that remains, and to provide the perspective necessary to choose a direction for further study. Some of the problems presented herein are longstanding open problems, some are recent, some are more important and some are only "local" problems. Some would require new ideas, while others may be resolved with only a subtle combination of known facts. Regardless of their origin or longevity, each of these problems documents the need for further research in this area.
606   $aFunctional analysis
606   $aApproximation theory
606   $aMeasure theory
606   $aConvex geometry
606   $aDiscrete geometry
606   $aAlgebraic topology
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023
606   $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120
606   $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
615  0$aFunctional analysis.
615  0$aApproximation theory.
615  0$aMeasure theory.
615  0$aConvex geometry.
615  0$aDiscrete geometry.
615  0$aAlgebraic topology.
615 14$aFunctional Analysis.
615 24$aApproximations and Expansions.
615 24$aMeasure and Integration.
615 24$aConvex and Discrete Geometry.
615 24$aAlgebraic Topology.
676   $a515.7
700   $aGuirao$b Antonio J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0756023
702   $aMontesinos$b Vicente$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aZizler$b Václav$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910254065603321
996   $aOpen Problems in the Geometry and Analysis of Banach Spaces$92124856
997   $aUNINA