Selections associated to McShane's extension theorem for Lipschitz functions

Authors

  • Costică Mustăţa Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy

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References

Alfsen, E. M., Effross, E., Structure in real Banach spaces, Ann. of Math. 96 (1972), 98-173, https://doi.org/10.2307/1970895; https://doi.org/10.2307/1970896

Czipser, J., Géher, L., Extension of functions satysfying a Lipschitz condition. Acta Math. Acad. Sci. Hungar 6 (1955), 213-220,https://doi.org/10.1007/bf02021278

Deutsch, F., Wu Li, Sung-Ho Park,Tietze Extensions and Continuous Selections for Metric Projections, J.A.T. 64 (1991), 55-68, https://doi.org/10.1016/0021-9045(91)90086-p

Fakhoury, H., Sélections linéaires associées au théorème de Hahn-Banach, J. Funct. Analysis 11 (1972), 436-452, https://doi.org/10.1016/0022-1236(72)90065-1

Mc Shane, E. J., Extension of range of functions, Bull. Amer. Math. Soc. 40 (1934), 837-842, https://doi.org/10.1090/s0002-9904-1934-05978-0

Mustăţa, C., Best Approximation and Unique Extension of Lipschitz Functions, J.A.T. 19 (1977), 222-230, https://doi.org/10.1016/0021-9045(77)90053-3

Mustăţa, C., M-ideals in metric space, "Babeş-Bolyai" University, Fac. of Math. and Physics, Research Seminars, Seminar on Math. Anal., Preprint Nr.7, 1988, 65-74.

Rudin W.,Functional Analysis, McGraw-Hill 1973.

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Published

1992-08-01

How to Cite

Mustăţa, C. (1992). Selections associated to McShane’s extension theorem for Lipschitz functions. Rev. Anal. Numér. Théor. Approx., 21(2), 135–145. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1992-vol21-no2-art6

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