On relative Hausdorff measures of noncompactness and relative Chebyshev radii in Banach spaces

Wisnicki, Andrzej; Wosko, Jacek

doi:10.1090/S0002-9939-96-03374-6

On relative Hausdorff measures of noncompactness and relative Chebyshev radii in Banach spaces
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by Andrzej Wisnicki and Jacek Wosko PDF

Proc. Amer. Math. Soc. 124 (1996), 2465-2474 Request permission

Abstract:

In this paper we prove some formulae and evaluations on relative Hausdorff measures of noncompactness and relative Chebyshev radii in various Banach spaces. We generalize the Lifschitz constant $\kappa (X)$ and introduce a function $\tilde {\kappa }_X(\cdot )$.

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