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 $\tilde {\kappa }_X(\cdot )$.References
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Additional Information
- Andrzej Wisnicki
- Affiliation: Department of Mathematics, UMCS, Pl. M. C. Skłodowskiej 1, 20-031 Lublin, Poland
- MR Author ID: 360658
- Email: awisnic@golem.umcs.lublin.pl
- Jacek Wosko
- Affiliation: Department of Mathematics, UMCS, Pl. M. C. Skłodowskiej 1, 20-031 Lublin, Poland
- MR Author ID: 292234
- Email: jwosko@golem.umcs.lublin.pl
- Received by editor(s): September 19, 1994
- Received by editor(s) in revised form: February 24, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- 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