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Results tagged with fa.functional-analysis
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user 114094
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
8
votes
1
answer
848
views
Basis vs Schauder basis in normed spaces
Following the conventions from Heil: "A Basis Theory Primer" and Albiac, Kalton: "Topics in Banach Space Theory", we might define a basis of an (infinite-dimensional) normed space $V$ as a sequence $( …
- 4,713
2
votes
1
answer
793
views
Proof of Helmholtz-Hodge decomposition, poor man's version
Helmholtz (-Hodge) decomposition commonly used in physics includes decomposition of a (sufficiently smooth) vector field $F = -\mathrm{grad}(U) + \mathrm{curl}(W)$ on bounded simply connected domain $ …
- 39k