Sequence spaces of spline functions on subsets and l-spaces |
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| Authors: | Peter Wingren |
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| Institution: | Department of Mathematics, University of Umeå, SE-901 87, Umeå, Sweden |
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| Abstract: | Spaces of sequences of bounded linear splines defined on arbitrary subsets of
are studied, especially with respect to continuous extensions. An extension problem is solved by establishing a decomposition for the space of spline sequences with respect to the l∞-space on a corresponding subset of
. An application to Zygmund spaces on subsets is presented. |
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| Keywords: | Zygmund space Sequence space Linear spline Extension operator |
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