Selections associated to McShane’s extension theorem for Lipschitz functions



Costica Mustata
“Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania



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C. Mustăţa, Selections associated to McShane’s extension theorem for Lipschitz functions, Rev. Anal. Numér. Théor. Approx. 21 (1992) 2, 135-145 (MR # 94h: 46008).


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Revue d’Analyse Numer. Theor. Approximation

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Publishing Romanian Academy

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MR # 94h: 46008

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[1] Alfsen, E.M., Effros, E., Structure in real Banach spaces, Ann. of Math. 96 (1972), 98-173.
[2] Azipser, J., Géher, L., Extension of Functions satisfying a Lipschitz conditions Acta Math. Acad. Sci. Hungar 6 (1955), 213-220.
[3] Deutsch, F.., Wu Li, Sung-Ho Park, Tietze Extensions and Conditions Selections for Metric Projecitons J.A.T. 64 (1991), 55-68.
[4] Fakhoury, H., SéIections linéaires associées au théorème de Hahn-Banach, J. Funct. Analysis  11 (7972),436-452.
[5] Mc shane; E, J., Extensions of range of functions, Bull, Amer. Math. Soc. 40 (1934), 837-842.
[6] Mustata C., Best Approximation and Unique Extension of Lipschilz Functions’J.A.T. 19 (1977), 222-230.
[7] Mustata, C., M- ideals in metric spaccs, “Babes-Bolyai,, University, Fac. of Math. and Physics, Research Seminars, Seminar on Math. Anal., preprint Nr. 7 (1988), 65-74.
8. Rudin W., Functional Analysis, McGraw-Hill 1973.

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