Some propositions related to a dilation theorem of W. Benz |
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Authors: | John A Baker |
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Institution: | (1) Department of Pure Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ont., Canada |
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Abstract: | Summary This paper begins with another proof of a theorem of W. Benz 2] concerning dilations in normed linear spaces. Our proof motivates several questions which are addressed thereafter. For instance it is shown that, ifI is an open interval in , : I
n
, is continuously differentiable and there exista
1,...,a
n
I such that {![gamma](/content/n5r07n7324886141/xxlarge947.gif) (a
1,...,![gamma](/content/n5r07n7324886141/xxlarge947.gif) (a
n
)} is linearly independent, then { (t): t I} contains a Hamel basis for
n
over . |
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Keywords: | 39B42 39B52 |
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