An extension of Yamamoto's theorem on the eigenvalues and singular values of a matrix

DOI10.2969/jmsj/1179759544zbMath1117.15008OpenAlexW2053652636MaRDI QIDQ861762

Huajun Huang, Tin-Yau Tam

Publication date: 30 January 2007

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1179759544

zbMATH Keywords

semisimple Lie groupCartan decompositioncomplete multiplicative Jordan decomposition

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45) Semisimple Lie groups and their representations (22E46)

Related Items

Weight distribution of Iwasawa projection, Extension of Wang-Gong monotonicity result in semisimple Lie groups, A stronger form of Yamamoto's theorem on singular values, Computing the Iwasawa decomposition of the classical Lie groups of noncompact type using the \(QR\) decomposition, Morse and Lyapunov spectra and dynamics on flag bundles, Extensions of three matrix inequalities to semisimple Lie groups

Cites Work

• Unnamed Item
• Approximation numbers and Yamamoto's theorem in Banach algebras
• Yamamoto's theorem for generalized singular values
• On the extreme values of the roots of matrices
• Two Theorems on Singular Values and Eigenvalues
• On convexity, the Weyl group and the Iwasawa decomposition
• Matrices