Del 75 - Monografie Matematyczne

Renormings in Banach Spaces

A Toolbox

Inbunden, Engelska, 2022

AvAntonio José Guirao,Vicente Montesinos,Václav Zizler,Antonio Jose Guirao,Vaclav Zizler,Vicente Guirao, Antonio José

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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.

Produktinformation

Utgivningsdatum2022-08-24
Mått155 x 235 x 41 mm
Vikt1 133 g
FormatInbunden
SpråkEngelska
SerieMonografie Matematyczne
Antal sidor625
FörlagBirkhauser Verlag AG
ISBN9783031086540

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Beräkning och matematisk analys inom Naturvetenskap och teknik

1 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 Smulyan’s 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 Tsirelson’s 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 Fabian’s farm of Lipschitz Asplund spaces.- 27 Fonf’s land of spaces isomorphic to polyhedral spaces.- 28 Hájek’s 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.