Illinois Journal of Mathematics

Hermitian algebra on the ellipse

Mihai Putinar and Claus Scheiderer

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Abstract

The subtle distinction between hermitian sums of squares and sums of squares, regarded as positivity certificates of a polynomial restricted to a real algebraic variety, is analyzed on the simplest, yet very relevant, example: an ellipse.

Article information

Source
Illinois J. Math., Volume 56, Number 1 (2012), 213-220.

Dates
First available in Project Euclid: 27 September 2013

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1380287468

Digital Object Identifier
doi:10.1215/ijm/1380287468

Mathematical Reviews number (MathSciNet)
MR3117026

Zentralblatt MATH identifier
1296.12001

Subjects
Primary: 12D15: Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) [See also 11Exx]
Secondary: 14P05: Real algebraic sets [See also 12D15, 13J30] 15B57: Hermitian, skew-Hermitian, and related matrices 32V15: CR manifolds as boundaries of domains

Citation

Putinar, Mihai; Scheiderer, Claus. Hermitian algebra on the ellipse. Illinois J. Math. 56 (2012), no. 1, 213--220. doi:10.1215/ijm/1380287468. https://projecteuclid.org/euclid.ijm/1380287468


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References

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