1Dipartimento di Matematica e Informatica Università di Udine via delle Scienze 208 33100 Udine, Italy 2Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland
Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 113-119
Given a real $n\times n$ matrix $A$, we make
some conjectures and prove partial results about the range of
the function that maps the $n$-tuple $x$ into the
entrywise $k$th power of the $n$-tuple $Ax$. This is of interest
in the study of the Jacobian Conjecture.
Keywords:
given real times matrix make conjectures prove partial results about range function maps n tuple entrywise kth power n tuple interest study jacobian conjecture
1
Dipartimento di Matematica e Informatica Università di Udine via delle Scienze 208 33100 Udine, Italy
2
Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland
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author = {Gianluca Gorni and Halszka Tutaj-Gasi/nska},
title = {On the span invariant for cubic similarity},
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Gianluca Gorni; Halszka Tutaj-Gasi/nska. On the span invariant for cubic similarity. Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 113-119. doi: 10.4064/ap76-1-11