On relative Hausdorff measures

of noncompactness and relative

Chebyshev radii in Banach spaces

Authors:
Andrzej Wisnicki and Jacek Wosko

Journal:
Proc. Amer. Math. Soc. **124** (1996), 2465-2474

MSC (1991):
Primary 41A65, 46B20, 47H09; Secondary 41A50, 47H10

DOI:
https://doi.org/10.1090/S0002-9939-96-03374-6

MathSciNet review:
1327052

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Abstract | References | Similar Articles | Additional Information

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 and introduce a function .

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Additional Information

**Andrzej Wisnicki**

Affiliation:
Department of Mathematics, UMCS, Pl. M. C. Skłodowskiej 1, 20-031 Lublin, Poland

Email:
awisnic@golem.umcs.lublin.pl

**Jacek Wosko**

Affiliation:
Department of Mathematics, UMCS, Pl. M. C. Skłodowskiej 1, 20-031 Lublin, Poland

Email:
jwosko@golem.umcs.lublin.pl

DOI:
https://doi.org/10.1090/S0002-9939-96-03374-6

Keywords:
Chebyshev radius,
Hausdorff measure of noncompactness,
Hausdorff distance,
Lifschitz constant,
$L^p$ spaces,
space of continuous functions.

Received by editor(s):
September 19, 1994

Received by editor(s) in revised form:
February 24, 1995

Communicated by:
Palle E. T. Jorgensen

Article copyright:
© Copyright 1996
American Mathematical Society