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On positive definite differences of multilinear forms and their representation

Published online by Cambridge University Press:  14 November 2011

Alexander Kovačec
Affiliation:
Mathematisches Institut der Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria

Synopsis

We study the evaluation of multilinear forms under arbitrary rearrangements of the entries of increasing n-tuples x(1), x(2),…, x(m), and we show that the difference of two such multilinear forms under certain circumstances can be written as a sum of obviously definite forms.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1984

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