Some remarks concerning norm preserving extensions and best approximations

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

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References

Cobzaş ,S., Some Applications of a Distance Formula to the Kernel of a Linear Operator (submitted)

Cobzaş, S., Mustăţa, C., Norm Preserving Extension of Convex Lipschitz Functions, J. Approx. Theory, 24, pp.236-244, 1978, https://doi.org/10.1016/0021-9045(78)90028-x

Cobzaş, S., Mustăţa, C., Extension of Bilinear Functionals and, Best Approximation., in 2-normed, Spaces, Studia Univ. "Babeg-Bolyai", Series Math., XLIII, no. 2, pp. 1-13, 1998.

Czipser, J., Géhér, L., Extension of Functions Satisfying a Lipschitz Condition, Acta Math. Acad. Sci. Hungar, 6, pp. 213-220, 1955, https://doi.org/10.1007/bf02021278

Deutsch, F., Wu Li and Sizwe Mabizela, Helly Extensions and, Best Approximation, Parametric Optimization and Related Topics III (J. Guddat, H. Th. Jongen, B. Kummer and F. Nošiaeka Eds., Appromation and Optimization, vol. 3, Verlag Peter Lang, pp. 107-120, Frankfurt 1993.

Engelking, R., General Topology, PWN Warszawa, 1985.

McShane, E. J., Extension of Range of Functions, Bull. Amer. Math., 40, pp. 834-842,1934, https://doi.org/10.1090/s0002-9904-1934-05978-0

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

Mustăţa, C., Norm Preserving Extension of Starshaped, Lipschitz Functions, Mathematica, 19, pp. 183-787, 1977.

Mustăţa, C., Extension of Bounded Lipschitz Functions and Some Related Problems of Best Approximation, "Babeş-Bolyai" Univ., Seminar on Func. Anal. and Numerical Methods Preprint, no.4, pp.93-99, 1981.

Mustăţa, C., Extension of Holder Functions and Some Related Problems of Best Approximation, Seminar on Mathematical Analysis "Babeş-Bolyai" Univ. Preprint, no.7, pp.71-86, 1991.

Sung-Ho, Park, Qoutient Mappings, Helly Extension, Hahn-Banach Extension, Tietze Extensions, Lipschitz Extension and Best Approximation, J. Koreean Math. Soc., 29, no.2, pp.239-250, 1992.

Phelps, R.R., Uniqueness of Hahn-Banach Extensions and Best Approximations, Trans. Amer. Math. Soc., 95, pp.238-255, 1960, https://doi.org/10.1090/s0002-9947-1960-0113125-4

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Published

2000-08-01

How to Cite

Mustăţa, C. (2000). Some remarks concerning norm preserving extensions and best approximations. Rev. Anal. Numér. Théor. Approx., 29(2), 173–180. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2000-vol29-no2-art7

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