Extensions of Three Matrix Inequalities to Semisimple Lie Groups

• Autorzy: Xuhua Liu , Tin-Yau Tam
• Języki publikacji: EN

Abstrakty

EN

We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context of semisimple Lie groups.

Słowa kluczowe

EN

Araki-Lieb-Thirring inequality; positive definite matrices; semisimple Lie groups; log majorization; Kostant’s pre-order

Kategorie tematyczne

• 22E46: Semisimple Lie groups and their representations
• 15A45: Miscellaneous inequalities involving matrices
• 15B48: Positive matrices and their generalizations; cones of matrices

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

otrzymano

2014-07-04

zaakceptowano

2014-09-14

online

2014-11-07

Twórcy

autor

Xuhua Liu

• Department of Mathematics, The University of Tennessee at Chattanooga, Chattanooga,
  TN 37403, USA

autor

Tin-Yau Tam

• Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849, USA

Bibliografia

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Identyfikatory

DOI

10.2478/spma-2014-0015