Łukasz Piasecki
Abstract
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In infinite dimensional Banach spaces the unit sphere is a lipschitzian retract of the unit ball. We use the space of continuous functions vanishing at a point to provide an example of such retraction having relatively small Lipschitz constant.
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In infinite dimensional Banach spaces the unit sphere is a lipschitzian retract of the unit ball. We use the space of continuous functions vanishing at a point to provide an example of such retraction having relatively small Lipschitz constant.
Key concepts: Unit sphere, Mathematics, Retract, Ball (mathematics), Lipschitz continuity, Banach space, Pure mathematics, Mathematical analysis