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arXiv · 2405.03867

Extremes of interpolation scales of Banach spaces

Willian Corrêa·Valentin Ferenczi·Rafela Gesing·Pedro Tradacete
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Abstract

M. Daher gave conditions so that the spheres of the spaces in the interior of a complex interpolation scale are uniformly homeomorphic. We look for sufficient conditions for the validity of this result and related ones on the extremes of the scale, with applications to uniform homeomorphism between spheres of Banach spaces and the sphere of $\ell_2$.

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Willian Corrêa, Valentin Ferenczi, Rafela Gesing, Pedro Tradacete. 2024-05-06. Extremes of interpolation scales of Banach spaces. https://arxiv.org/abs/2405.03867

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