Extension of Wang-Gong monotonicity result in semisimple Lie groups

• Autorzy: Zachary Sarver , Tin-Yau Tam
• Języki publikacji: EN

Abstrakty

EN

We extend a monotonicity result of Wang and Gong on the product of positive definite matrices in the context of semisimple Lie groups. A similar result on singular values is also obtained.

Słowa kluczowe

EN

Wang-Gong inequality; positive definite matrices; semisimple Lie groups; log majorization; Kostant’s pre-order

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-09-04

zaakceptowano

2015-10-12

online

2015-10-16

Twórcy

autor

Zachary Sarver

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

autor

Tin-Yau Tam

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

Bibliografia

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Identyfikatory

DOI

10.1515/spma-2015-0024