Extension of bilinear operators and best approximation in 2-normed spaces
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I. Beg, M. Iqbal, Extension of linear 2-operators, Mathematica Montesnigri 2 (1993), pp. 1-10.
S. Cobzaş, C. Mustăţa, Extension of bilinear functionals and best approximation in 2-normed spaces (to appear).
N. Dunford, J. T. Schwartz, Linear Operators Part. I: Genral Theory, Interscience Publishers, New York, 1958.
I. Franić, An extension theorem ofr bounded linear 2-functionals and applications, Math. Japonica 40 (1994), pp. 79-85.
S. Gähler, 2-Matrische Räume und ihre Topoligische Struktur, Math. Nachr. 26 (1963/64) pp. 115-148.
S. Gähler, Linear 2-Normierte Räume, Math. Nachrs. 28 (1965), pp. 1-45.
S. Gähler, Über 2-Banach-Räume, Math. Nachr. 42 (1969), pp. 335-347.
T. L. Hayden, The extension of bilinear functionals, Pacific, J. Math. 22 (1967), pp. 99-108.
R. B. Holmes, On the continuity of best approximation operators, in Symposium on Infinite Dimensional Topology (R.D. Anderson Editor), annals of Math. Studies, Princenton Univ. Press. Princenton 1972, pp. 137-158.
R. B. Holmes, Geometric Functional analysis and its Applications, Springer-Verlag, Berlin , 1975.
K. Iseki, Mathematics on 2-normed spaces, Bull. Korean. Math. Soc., 13 (1976), pp. 127-136.
J. Lindenstrauss, Extension of compact operators, Mem. Amer. Math. Soc. 48, (1964).
S. Mabizela, On bounded 2-linear functionals, Math. Japonica, 35 (1990), pp. 51-55.
L. Nachbin, A theorem of Hahn-Banach type for linear transformation, Trans. Amer. Math. Soc., 68 (1950), pp. 28-46.
L. Nachbin, Some problems in extending and lifting continuous linear transformations, in Proc. International symposium on Linear Spaces, Jerusalem, 1960.
R. R. Phelps, Uniqueness of Hahn-Banach extension and unique best approximation, Trans Amer. Math. Soc., 96 (1960), pp. 238-255.
I. Singer, Best Approximation in Normed Linear Spaces by Element of Linear Subspaces, Publishing House of the Romanian Academy and Springer Verlag, Bucharest and Berlin, 1970.
A. G. White Jr., 2-Banach spaces, Math. Nachr. 42 (1969), pp. 43-60.
A. G. White and Yeol Je Cho, Linear mappings on linear 2-normed spaces, Bull. Korean Math.Soc., 21 (1984), pp. 1-6.
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