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001449003 001__ 1449003
001449003 003__ OCoLC
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001449003 019__ $$a1342250244$$a1347271515
001449003 020__ $$a9783031086557$$q(electronic bk.)
001449003 020__ $$a3031086554$$q(electronic bk.)
001449003 020__ $$z9783031086540
001449003 020__ $$z3031086546
001449003 0247_ $$a10.1007/978-3-031-08655-7$$2doi
001449003 035__ $$aSP(OCoLC)1342500418
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001449003 049__ $$aISEA
001449003 050_4 $$aQA322.2
001449003 08204 $$a515/.732$$223/eng/20220901
001449003 1001_ $$aGuirao, Antonio J.
001449003 24510 $$aRenormings in Banach spaces :$$ba toolbox /$$cAntonio José Guirao, Vicente Montesinos, Václav Zizler.
001449003 260__ $$aCham :$$bSpringer,$$c2022.
001449003 300__ $$a1 online resource (621 pages)
001449003 336__ $$atext$$btxt$$2rdacontent
001449003 337__ $$acomputer$$bc$$2rdamedia
001449003 338__ $$aonline resource$$bcr$$2rdacarrier
001449003 4901_ $$aMonografie Matematyczne ;$$vv. 75
001449003 504__ $$aIncludes bibliographical references and index.
001449003 5050_ $$a1 Norms, Normed spaces, Banach spaces -- 2 Some basic definitions and tools -- 3 Equivalent norms -- 4 Basic differentiability in Banach spaces -- 5 Basic convexity -- 6 Some structural properties of Banach spaces -- 7 The use of Smulyans tests -- 8 Asplund averaging I -- 9 Tools for renorming -- 10 Renorming of nonseparable Banach spaces -- 11 Examples on C1-smoothness -- 12 Examples on Rotundity -- 13 Nonlinear Transfer Techniques -- 14 Lipschitz functions -- 15 Spaces isomorphic to Hilbert spaces -- 16 Superreflexive spaces -- 17 The Kingdom of Tsirelsons space -- 18 The L(infinity) spaces -- 19 Higher order smoothness -- 20 James boundaries -- 21 RNP property -- 22 SSD spaces -- 23 Norms with MIP -- 24 Nicely smooth Banach spaces -- 25 Weak Hadamard differentiability -- 26 Fabians farm of Lipschitz Asplund spaces -- 27 Fonfs land of spaces isomorphic to polyhedral spaces -- 28 Hajeks garden of nice functions on c0(gamma) -- 29 Kottman-type results -- 30 3-space properties -- 31 Polynomials -- 32 Miscellaneous applications -- 33 Miscellaneous topics -- 34 More on WCG spaces and their relatives -- 35 Valdivia compacta -- 36 Renorming classical spaces -- 37 Symmetric norms -- 38 A concise list of coordinates of the relationship -- 39 Some easily formulated open questions on construction of norms in separable spaces -- Index of figures.
001449003 506__ $$aAccess limited to authorized users.
001449003 520__ $$aThis monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results in building equivalent norms with useful properties, and the evolution of the subject from its origin to the present days. Emphasis is done on the main ideas and their connections. The book covers several goals. First, a substantial part of it can be used as a text for graduate and other advanced courses in the geometry of Banach spaces, presenting results together with proofs, remarks and developments in a structured form. Second, a large collection of recent contributions shows the actual landscape of the field, helping the reader to access the vast existing literature, with hints of proofs and relationships among the different subtopics. Third, it can be used as a reference thanks to comprehensive lists and detailed indices that may lead to expected or unexpected information. Both specialists and newcomers to the field will find this book appealing, since its content is presented in such a way that ready-to-use results may be accessed without going into the details. This flexible approach, from the in-depth reading of a proof to the search for a useful result, together with the fact that recent results are collected here for the first time in book form, extends throughout the book. Open problems and discussions are included, encouraging the advancement of this active area of research.
001449003 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 1, 2022).
001449003 650_0 $$aBanach spaces.
001449003 650_0 $$aNormed linear spaces.
001449003 655_0 $$aElectronic books.
001449003 655_7 $$aLlibres electrònics.$$2thub
001449003 7001_ $$aMontesinos Julve, Vicente.
001449003 7001_ $$aZizler, Vaclav.
001449003 77608 $$iPrint version:$$aGuirao, Antonio José$$tRenormings in Banach Spaces$$dCham : Springer International Publishing AG,c2022$$z9783031086540
001449003 830_0 $$aMonografie matematyczne ;$$vv. 75.
001449003 852__ $$bebk
001449003 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-08655-7$$zOnline Access$$91397441.1
001449003 909CO $$ooai:library.usi.edu:1449003$$pGLOBAL_SET
001449003 980__ $$aBIB
001449003 980__ $$aEBOOK
001449003 982__ $$aEbook
001449003 983__ $$aOnline
001449003 994__ $$a92$$bISE