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Weierstrass-Stone theorems for set-valued mappings. (English) Zbl 0493.41042


MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
46E15 Banach spaces of continuous, differentiable or analytic functions
41A28 Simultaneous approximation

Citations:

Zbl 0183.136
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Full Text: DOI

References:

[1] Blatter, J, Grothendieck spaces in approximation theory, Mem. amer. math. soc., 120, (1972) · Zbl 0236.46027
[2] Buck, R.C, Approximation properties of vector-valued functions, Pacific J. math., 53, 85-94, (1974) · Zbl 0258.41023
[3] Nachbin, L, Weighted approximation for algebras and modules of continuous functions: real and self-adjoint complex cases, Ann. of math., 81, 281-302, (1965) · Zbl 0134.12603
[4] Olech, C, Approximation of set-valued functions by continuous functions, (), 285-303 · Zbl 0183.13603
[5] Prolla, J.B, Approximation of vector valued functions, () · Zbl 0246.46001
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