Common selections for the metric projections



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



Paper coordinates

C. Mustăţa, Common selections for the metric projections, Mathematica 35 (58) (1993) 2, 193-200.



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Romanian Academy

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MR # 96b: 46018

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[1] Czipser, J. and Geher, L., Extension of Funcitons Satisfying a Lipschitz Condition, Acta Math. Acad. Sci. Hungar, 6 (1955), 213-220.
[2] Deutsch, F., Linear Selections for Metric Projeciton, J. Funct. Analysis 49, 3 (1982), 269-292.
[3] Deutsch, F., Wu Li, Sung-Ho Park, Tietze Extensions and Continuous Selections for Metric Projections, J. Approx. Theory 64, 1 (1991), 55-68.
[4] Mc Shane, E.J., Extension of Range of Funcitons, bull. Amer. Math. Soc. 40 (1934), 837-842.
[5] Mustata, C., Asupra unor subspații cebîșeniene din spațiul normal al funcțiilor lipschitziene, Rev. Anal. Numer. Teoria Aproximației 2 (1973), 81-87.
[6] Mustata, C., Best Approximation and Unique Extension of Lipschitz Functions, J. Approx. Theory 19, 3, (1977), 222-230.
[7] Mustata, C., M-ideal in Metric Spaces, “Babes-Bolyai” Univ. Research Seminars, Seminar on Mathematical Analysis, Preprint nr.7, (1988), 65-74.
[8] Mustata, C., Extension of Holder Functions and Some Related Problems of Best Approximation, “Babes-Bolyai” Univ. Research Seminars, Seminar on Mathematical analysis, Preprint, nr.7 (1991), 71-86.
[9] Mustata C., Selections Associated to Mc Shane’s Extension Theorem for Lipschitz Functions, Revue d’Analyse Numer. et de la Theorie de l’Approximation 21, 2 (1992), 135-145.


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