Some remarks concerning norm preserving extensions and best approximations

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

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https://doi.org/10.33993/jnaat292-667
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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 DOI: 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 DOI: https://doi.org/10.1007/BF02021278

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

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Mustăţa, C., Norm Preserving Extension of Starshaped, Lipschitz Functions, Mathematica, 19, pp. 183-787, 1977. DOI: https://doi.org/10.1016/0021-9045(77)90053-3

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 DOI: 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. https://doi.org/10.33993/jnaat292-667

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