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More results on Schur complements in Euclidean Jordan algebras

✍ Scribed by Roman Sznajder; M. Seetharama Gowda; Melania M. Moldovan


Book ID
113071164
Publisher
Springer US
Year
2011
Tongue
English
Weight
198 KB
Volume
53
Category
Article
ISSN
0925-5001

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A note on the Ostrowski–Schneider type i
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In a recent paper [7], Gowda et al. extended Ostrowski-Schneider type inertia results to certain linear transformations on Euclidean Jordan algebras. In particular, they showed that In(a) = In(x) whenever a β€’ x > 0 by the min-max theorem of Hirzebruch, where the inertia of an element x in a Euclidea