Banach spaces & Banach lattices Seminar

On uniform homeomorphisms on interpolation scales of Banach spaces

Speaker:  Valentin Ferenczi (Universidade de São Paulo)
Date:  Tuesday, 03 February 2026 - 12:00
Place:  Aula Naranja, ICMAT

Abstract:

M. Daher (1995) gave conditions so that the spheres of the space in the interior of a complex interpolation scale are uniformly homeomorphic. We shall discuss sufficient conditions for the extension of Daher's result to spaces on the extreme of the scale. Possible applications to uniform homeomorphism between spheres of Banach spaces and the sphere of the Hilbert space will be mentioned. Joint work with W. Corrêa (ICMC - U. São Paulo), R. Gesing (U. Münster), and P. Tradacete (ICMAT).

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