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Una nuova proprieta' geometrica della sfera unitaria di uno spazio normato

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Fra gli spazi di Banach reali vengono definiti iT-spazi. Tale classe include gli spazi finito-dimensionali e quelli uniformemente lisci. Riguardo alla proprietàT e a proprietà affini vengono discussi alcuni spazi di Banach classici. Sono provate proprietà deiT-spazi riguardo le trasformazioni lipschitziane del disco unitario dello spazio in sè.

Summary

We define theT-spaces among the real Banach spaces. This class includes finite dimensional and uniformly smooth spaces. We discuss some classical Banach spaces with respect theT-property and related properties. We prove some properties of theT-spaces concerning Lipschitz self maps of the unit ball of the space.

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Referenze

  1. Y. Benyamini andY. Sternfeld,Spheres in infinite-dimensional normed spaces are Lipschitz contractible, Proc. Amer. Math. Soc.88 (1983), 439–445.

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Authors and Affiliations

  1. dell' Università di Firenze, Firenze, Italia

    C. Franchetti

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  1. C. Franchetti
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(Conferenza tenuta il 16 maggio 1985)

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Franchetti, C. Una nuova proprieta' geometrica della sfera unitaria di uno spazio normato. Seminario Mat. e. Fis. di Milano 55, 113–122 (1985). https://doi.org/10.1007/BF02924871

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  • DOI: https://doi.org/10.1007/BF02924871

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