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[46Xxx] -- Functional analysis
- [46Cxx]
-- Inner product spaces and their generalizations, Hilbert spaces
[46C05]
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Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) |
[46C15]
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Characterizations of Hilbert spaces |
- [46Bxx]
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[46B10]
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Duality and reflexivity |
[46B20]
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Geometry and structure of normed linear spaces |
[46B99]
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None of the above, but in this section |
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- [46Exx]
-- Linear function spaces and their duals
[46E30]
-- |
Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
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- [46Gxx]
-- Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)
- [46Hxx]
-- Topological algebras, normed rings and algebras, Banach algebras
[46H05]
-- |
General theory of topological algebras |
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- [46Jxx]
-- Commutative Banach algebras and commutative topological algebras
[46J10]
-- |
Banach algebras of continuous functions, function algebras |
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