000 | 03350nam a22005055i 4500 | ||
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001 | 978-3-540-85031-1 | ||
003 | DE-He213 | ||
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007 | cr nn 008mamaa | ||
008 | 100301s2009 gw | s |||| 0|eng d | ||
020 |
_a9783540850311 _9978-3-540-85031-1 |
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024 | 7 |
_a10.1007/978-3-540-85031-1 _2doi |
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072 | 7 |
_aPBMP _2bicssc |
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072 | 7 |
_aMAT012030 _2bisacsh |
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_aPBMP _2thema |
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082 | 0 | 4 |
_a516.36 _223 |
100 | 1 |
_aMoltó, Aníbal. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 2 |
_aA Nonlinear Transfer Technique for Renorming _h[electronic resource] / _cby Aníbal Moltó, José Orihuela, Stanimir Troyanski, Manuel Valdivia. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2009. |
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300 |
_aXI, 148 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1951 |
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505 | 0 | _a?-Continuous and Co-?-continuous Maps -- Generalized Metric Spaces and Locally Uniformly Rotund Renormings -- ?-Slicely Continuous Maps -- Some Applications -- Some Open Problems. | |
520 | _aAbstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces. The book offers new techniques for renorming problems, all of them based on a network analysis for the topologies involved inside the problem. Maps from a normed space X to a metric space Y, which provide locally uniformly rotund renormings on X, are studied and a new frame for the theory is obtained, with interplay between functional analysis, optimization and topology using subdifferentials of Lipschitz functions and covering methods of metrization theory. Any one-to-one operator T from a reflexive space X into c0 (T) satisfies the authors' conditions, transferring the norm to X. Nevertheless the authors' maps can be far from linear, for instance the duality map from X to X* gives a non-linear example when the norm in X is Fréchet differentiable. This volume will be interesting for the broad spectrum of specialists working in Banach space theory, and for researchers in infinite dimensional functional analysis. | ||
650 | 0 | _aGlobal differential geometry. | |
650 | 0 | _aFunctional analysis. | |
650 | 1 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
700 | 1 |
_aOrihuela, José. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aTroyanski, Stanimir. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aValdivia, Manuel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540872986 |
776 | 0 | 8 |
_iPrinted edition: _z9783540850304 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1951 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-85031-1 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
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