does there exist a lion standard linear functional on Zp which is invariant under permutations e.g. which has the same value on each two elements in lp one of which is obtained from the other by a permutation of the coordinates. An answer to this and related problems will appear in a paper by T. FIG
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
No coin nor oath required. For personal study only.
✦ 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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