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Conditions for
simultaneous approximation and interpolation with norm
preservation in C[a,b]
Joseph Michael Lambert |
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Vol. 66 (1976), No. 1, 173–180
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Abstract |
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This paper gives necessary and sufficient conditions for a triple (X,M,Γ) to have property SAIN (simultaneous approximation and interpolation which preserves the norm), X being an arbitrary Banach space. The best previous result concerned X, a reflexive, rotund Banach space. The paper proceeds to use this result to yield geometric proofs of the work of D. J. Johnson concerning property SAIN and C[a,b]. |
Mathematical Subject Classification 2000
Primary: 41A65
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Milestones
Received: 8 January 1976
Published: 1 September 1976
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Authors |
| Joseph Michael Lambert | |
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