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math.FA2025
Strongly continuous fields of operators over varying Hilbert spaces
Ali BenAmor, Batu Güneysu, Thomas Kalmes +1
After introducing a natural notion of continuous fields of locally convex spaces, we establish a new theory of strongly continuous families of possibly unbounded self-adjoint opera…
math.DG2025
Lower bounds on the normal injectivity radius of hypersurfaces and bounded geometries on manifolds with boundary
Sebastian Boldt, Batu Güneysu, Stefano Pigola
We prove for the first time a pointwise lower estimate of the normal injectivity radius of an embedded hypersurface in an arbitrary Riemannian manifold. Main applications include:…