Mathematical Sciences Classification System
46Bxx - Normed linear spaces and Banach spaces; Banach lattices
{For function spaces, see 46Exx}
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46B03Isomorphic theory (including renorming) of Banach spaces
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46B04Isometric theory of Banach spaces
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46B06Asymptotic theory of Banach spaces [See also 52A23]
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46B07Local theory of Banach spaces
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46B08Ultraproduct techniques in Banach space theory [See also 46M07]
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46B09Probabilistic methods in Banach space theory [See also 60Bxx]
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46B10Duality and reflexivity [See also 46A25]
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46B15Summability and bases [See also 46A35]
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46B20Geometry and structure of normed linear spaces
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46B22Radon-Nikodým, Kreĭn-Milman and related properties [See also 46G10]
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46B25Classical Banach spaces in the general theory
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46B26Nonseparable Banach spaces
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46B28
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46B40
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46B42
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46B45Banach sequence spaces [See also 46A45]
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46B50Compactness in Banach (or normed) spaces
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46B70Interpolation between normed linear spaces [See also 46M35]
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46B80Nonlinear classification of Banach spaces; nonlinear quotients
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46B85
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46B99None of the above, but in this section