𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some inertia theorems in Euclidean Jordan algebras

✍ Scribed by M. Seetharama Gowda; Jiyuan Tao; Melania Moldovan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
231 KB
Volume
430
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A note on the Ostrowski–Schneider type i
A note on the Ostrowski–Schneider type inertia theorem in Euclidean Jordan algebras
✍ Jiyuan Tao 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 200 KB

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 • x > 0 by the min-max theorem of Hirzebruch, where the inertia of an element x in a Euclidea

Some P-properties for linear transformat
Some P-properties for linear transformations on Euclidean Jordan algebras
✍ M.Seetharama Gowda; Roman Sznajder; J. Tao 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 321 KB

A real square matrix is said to be a P-matrix if all its principal minors are positive. It is well known that this property is equivalent to: the nonsign-reversal property based on the componentwise product of vectors, the order P-property based on the minimum and maximum of vectors, uniqueness prop

Strict diagonal dominance and a Geršgori
Strict diagonal dominance and a Geršgorin type theorem in Euclidean Jordan algebras
✍ Melania M. Moldovan; M. Seetharama Gowda 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 194 KB

For complex square matrices, the Levy-Desplanques theorem asserts that a strictly diagonally dominant matrix is invertible. The well-known Geršgorin theorem on the location of eigenvalues is equivalent to this. In this article, we extend the Levy-Desplanques theorem to an object in a Euclidean Jorda