Applications of Inverse Limits to Extensions of Operators and Approximation of Lipschitz Functions |
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| Authors: | Jacek Tabor David Yost |
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| Institution: | Institute of Mathematics, Jagiellonian University, Reymonta 4 st. 30-059, Kraków, Polandf1;Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia, f2 |
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| Abstract: | We consider extensions of linear operators from finite dimensional subspaces. As a corollary of Steenrod's theorem about inverse limits of topological spaces, we obtain new results concerning approximation in tensor product spaces and the stability of the Cauchy functional equation. |
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| Keywords: | extension approximation Lipschitz function inverse limit |
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