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Results tagged with fa.functional-analysis
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user 40804
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
8
votes
Accepted
Nonvanishing section of infinite-dimensional tautological bundle
Let $X$ be any paracompact space. Then Hilbert vector bundles over $X$ are classified by homotopy classes of maps $[X, BU(\mathcal H)]$. But when $\mathcal H$ is infinite-dimensional, the group $U(\ma …
- 9,580
2
votes
Accepted
Orientability of moduli space and determinant bundle of ASD operator
You want a line bundle that's well-defined over the entire space of irreducible connections $\mathcal B^*$; this is how you see, for instance, that a choice of orientation at one point in the moduli s …
- 9,580
1
vote
Fredholm property of linearization of Floer map
They show in Section 8.7.c that $(dF^H)_u$ is a Fredholm operator.
What remains is simple linear algebra (even continuity is irrelevant). Suppose $A: V \times W \to U$ is a linear map, with $B = A|_V$ …
- 9,580