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scientific article; zbMATH DE number 1108970
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scientific article; zbMATH DE number 1108970

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    25 January 1998
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    Banach and Hilbert spaces
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    Riesz representation theory
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    Hahn-Banach theorem
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    uniform boundedness principle
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    mapping theorem
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    Banach-Mazur theorem
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    Schur theorem
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    James' theorem
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    Eberlein-Shmuljan theorem
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    Krejn and Godefroy theorems in separable spaces
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    Krejn-Mil'man theorem
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    weakly compact convex sets in Banach spaces
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    duality
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    differentiability of norms
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    extremal structure
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    spectral theory
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    spectral decomposition of normal compact operators
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    Fredholm theorems
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    fixed point theory
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    locally convex spaces
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    Choquet's representation
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    Schauder bases
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    weak compact generations of Banach spaces
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    projectional resolutions of the identity
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    Markushevich bases
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    uniformly rotund and uniformly Fréchet differentiable norms
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    uniform rotundity in Lebesgue spaces
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    Enflo's renorming theorem
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    finite representability
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    homeomorphisms
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    lipeomorphisms
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    smooth variational principle
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    Bishop-Phelps theorem
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    Bonic-Frampton theorem
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    Banach space geometry
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