A NOTE ON CERTAIN QUOTIENT SPACES OF BOUNDED LINEAR OPERATORS

Title & Authors
A NOTE ON CERTAIN QUOTIENT SPACES OF BOUNDED LINEAR OPERATORS
Cho, Chong-Man; Ju, Seong-Jin;

Abstract
Suppose X is a closed subspace of Z
Keywords
bounded linear operator;compact operator;quotient space;$\small{{\ell}_p}$-sum;
Language
English
Cited by
References
1.
C.-M. Cho, A Note on M-ideals of Compact Operators, Canad. Math. Bull. 32 (1989), 434-440.

2.
N. Dunford and J. Schwartz, Linear Operators, Vol.I. Interscience Publisher, New York, 1958.

3.
G. Godini, Characterization of Proximinal Subspaces in Normed Linear Spaces, Rev. Roumaine Math. Pures Appl., TOME XVIII 6 (1973), 901-906.

4.
R. B. Holmes, B. Scranton and J. Ward, Approximation from the space of compact operators and other M-ideals, Duke Math. J. 42 (1975), 259-269.

5.
K. Saatkamp, Best Approximation in the Space of Bounded Operators and its Applications, Math. Ann. 250 (1980), 35-54.

6.
D. T. Yost, Best Approximation and Intersections of balls in Banach spaces, Bull. Austral. Math. Soc. 20 (1979), 258-300.

7.
D. T. Yost, Approximation by Compact Operators between C(X) Spaces, J. Approx. Theory 49 (1987), 99-109.