Farthest points and bounded 2-functionals

• Autorzy: Kim S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we give some theorems on further characterizations and existences of E-farthest points in linear 2-normed spaces in terms of bounded linear functionals.

Słowa kluczowe

EN

farhest point; deviation; bounded linear 2-functional

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 3
• Strony: 531--538
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Kim S.

• Department of Mathematics, Dongeui University, Pusan 614-714, Korea

Bibliografia

• [1] S. Elumalai and R. Ravi, Farthest points on suns, Math. Today 9 (1991), 13-18.
• [2] C. Franchetti and I. Singer, Deviation and farthest points in normed linear spaces, Rev. Roum. Math. Pure et Appl. 24 (1979), 373.
• [3] S. Gähler, Lineare 2-normierte Räume, Math. Nachr. 28 (1965), 1-45.
• [4] M. Jane, Global Kolmogorov condition and good approximation, Bull. Acad. Serbe Sei. Arts, Sei. Math. 13 (1984), 7-20.
• [5] S. Mabizela, On bounded linear 2-junctionals, Math. Japon. 35 (1) (1990), 51-55.
• [6] M. Newton, Uniform and Strict Conveixty in Linear 2-Normed Space, Docteral Diss., Saint Louis Univ., 1979.
• [7] R. Ravi, Approximation in Linear 2-Normed Spaces and Normed Linear Spaces, Doctoral Diss., Madras Univ., 1994.
• [8] I. Singer, Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces, Springer-Verlag, 1970.
• [9] A. White, 2-Banach spaces, Math. Nachr. 42 (1969), 43-60.