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Bulletin of the London Mathematical Society 1994 26(2):165-170; doi:10.1112/blms/26.2.165
© 1994 by London Mathematical Society
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© London Mathematical Society

Interpolation in Normed Spaces from the Values of Linear Functionals

Jonathan R. Partington

School of Mathematics, University of Leeds Leeds LS2 9JT

Received 15 August 1992.

Necessary and sufficient conditions are given for solution of the nonlinear interpolation problem of reconstructing an element of a normed space from corrupted functional values. Some applications are discussed.


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