Ali Suri

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math.FA2024

L^1-regularity of strong ILB-Lie groups

Helge Glockner, Ali Suri

If G is a Lie group modeled on a FrÃ©chet space, let e be its neutral element and g be its Lie algebra. We show that every strong ILB-Lie group G is L^1-regular in the sense that e…

math.FA2024

Manifolds of continuous BV-functions and vector measure regularity of Banach-Lie groups

Helge Glockner, Alexander Schmeding, Ali Suri

We construct a smooth Banach manifold BV $([a, b], M)$ whose elements are suitably-defined functions $f : [a, b] \to M$ of bounded variation with values in a smooth Banach manif…