Best approximations in the space of bounded linear operators from C (X) to C (Y). (English) Zbl 0324.41022
MSC:
| 41A65 | Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) |
| 41A50 | Best approximation, Chebyshev systems |
| 41A35 | Approximation by operators (in particular, by integral operators) |
References:
| [1] | Cheney, E. W., Introduction to Approximation Theory (1966), McGraw-Hill: McGraw-Hill New York · Zbl 0161.25202 |
| [2] | Dunford, N.; Schwartz, J. T., Linear Operators, Part I (1958), Interscience: Interscience New York · Zbl 0084.10402 |
| [3] | Malbrock, J., Chebychev subspaces in the space of bounded linear operators from \(c_0\) to \(c_0\), J. Approximation Theory, 9, 149-164 (1973) · Zbl 0278.41026 |
| [4] | Phelps, R. R., Cebysev subspaces of finite codimension in \(C(X)\), Pacific J. Math., 13, 647-655 (1963) · Zbl 0115.10101 |
| [5] | Phelps, R. R., Cebysev subspaces of finite dimension in \(L_1\), (Proc. Amer. Math. Soc., 17 (1966)), 646-652 · Zbl 0156.36502 |
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