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Systems of Hermitian Quadratic Forms

Published online by Cambridge University Press:  20 November 2018

Ma Li  and
Chen Dezhong
Ma Li
Affiliation:
Department of Mathematical Sciences Tsinghua University Beijing 100084 China, e-mail: [email protected] Department of Mathematics The National University of Singapore 10 Kent Ridge Crescent Singapore 119260, e-mail: [email protected]
Chen Dezhong
Affiliation:
Department of Mathematical Sciences Tsinghua University Beijing 100084 China Department of Mathematics The National University of Singapore 10 Kent Ridge Crescent Singapore 119260, e-mail: [email protected]
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Abstract

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In this paper, we give some conditions to judge when a system of Hermitian quadratic forms has a real linear combination which is positive definite or positive semi-definite. We also study some related geometric and topological properties of the moduli space.

Keywords

15A63hermitian quadratic formpositive definitepositive semi-definite
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 1 , 01 March 2004 , pp. 73 - 81
Copyright
Copyright © Canadian Mathematical Society 2004

References

[1] Calabi, E., Linear systems of real quadratic forms. Proc. Amer.Math. Soc. 15 (1964), 844–846.Google Scholar
[2] Calabi, E., Linear systems of real quadratic forms 2. Proc. Amer.Math. Soc. 84 (1982), 331–334.Google Scholar
[3] Greub, Werner, Lineare Algebra. Berlin, Springer-Verlag, 1958.Google Scholar
[4] Kelley, J. L. and Namioka, Isaac, Linear topological spaces. Princeton, N.J., Van Nostrand, 1963.Google Scholar