A characterization of Chebyshevian subspaces of Y-type

Abstract

Authors

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

Keywords

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Paper coordinates

C.Mustăţa, A characterization of Chebyshevian subspaces of \(Y^\perp\)-type, Anal. Numér. Théor. Approx., 6 (1977) 1, 51-56.

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Journal

Revue d’Analyse Numer. Theor. Approximation

Publisher Name

Romanian Academy

Print ISSN

2457-6794

Online ISSN

2501-059X

MR 58 # 29722

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[2] Czipszer, J., Gehér, L., Extension of functions satisfying a Lipschitz condition. Acta Math. Acad. Sci. Hungar. 6 (1955), 213-220, MR0071493, https://doi.org/10.1007/bf02021278
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[4] Mustăţa, Costică, On certain Čebyšev subspaces of the normed space of Lipschitzian functions. (Romanian) Rev. Anal. Numer. Teoria Aproximaţiei 2 (1973), 81-87, MR0387920.
[5] Mustăţa, Costică, A monotonicity property of the operator of best approximation in the space of Lipschitzian functions. (Romanian) Rev. Anal. Numer. Teoria Aproximaţiei 3 (1974), no. 2, 153-160 (1975), MR0387921.
[6] Nachbin, Leopoldo, A theorem of the Hahn-Banach type for linear transformations. Trans. Amer. Math. Soc. 68, (1950). 28-46, MR0032932, https://doi.org/10.1090/s0002-9947-1950-0032932-3
[7] Pantelidis, Georgios, Approximationstheorie für metrische lineare Räume. (German) Math. Ann. 184 1969 30-48, MR0262754, https://doi.org/10.1007/bf01350613
[8] Phelps, R. R., Uniqueness of Hahn-Banach extensions and unique best approximation. Trans. Amer. Math. Soc. 95 1960 238-255, MR0113125, https://doi.org/10.1090/s0002-9947-1960-0113125-4
[9] Singer, Ivan, Cea mai bună aproximare în spaţii vectoriale normate prin elemente din subspaţii vectoriale. (Romanian) [Best approximation in normed vector spaces by elements of vector subspaces] Editura Academiei Republicii Socialiste România, Bucharest 1967 386 pp., MR0235368.

1977

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