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On Zero-Preserving Linear Transformations

✍ Scribed by J.M. Carnicer; J.M. Peña; A. Pinkus


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
132 KB
Volume
266
Category
Article
ISSN
0022-247X

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✦ Synopsis


For an arbitrary subset I of and for a function f defined on I, the number of zeros of f on I will be denoted by

In this paper we attempt to characterize all linear transformations T taking a linear subspace W of C I into functions defined on J (I J ⊆ ) such that Z I f = Z J Tf for all f ∈ W .


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