Matrix Inequalities and Their Extensions to Lie Groups

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A01=Tin-Yau Tam
A01=Xuhua Liu
advanced linear algebra
Author_Tin-Yau Tam
Author_Xuhua Liu
Cartan Decomposition
Cartan Involution
Category=PBF
Category=PBW
Compact Real Form
Complex Semisimple Lie Algebra
Convexity Theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exponential Map
Finite Dimensional Irreducible Representation
Geodesic Triangle
geometric mean matrices
Iwasawa Decompositions
Kostant convexity
Lie Algebra
Lie Groups
Lie Subgroup
Matrix Decompositions
matrix exponential inequalities in Lie groups
Matrix Exponentials
Maximal Torus
Nonpositive Curvature
Riemannian Manifold
Root Space Decomposition
Semidirect Product
Semisimple Lie Algebra
semisimple Lie algebras
Semisimple Lie Group
Semisimple Lie Groups
Smooth Manifold
Smooth Manifolds
Smooth Vector Fields
Spectral Norm
spectral norm analysis
Symmetric Space
Unique Geodesic
unitarily invariant norms
Unitary Invariant Norms
Weyl Group

Product details

  • ISBN 9781498796163
  • Weight: 340g
  • Dimensions: 156 x 234mm
  • Publication Date: 16 Mar 2018
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists and Lie group researchers.

Tin-Yau Tam currently serves as the Chair and Professor of the Department of Mathematics and Statistics at Auburn University. He was honored as Lloyd and Sandra Nix Endowed Professor (2012–2015). He has served as Director of Assessment and Planning (2000–2012) and Special Assistant to the Provost (2008–2009). He has served as a member of the board of directors of the International Linear Algebra Society (2009–2013). Tam’s areas of specialization are Matrix Theory and their Applications, Multilinear Algebra, and Lie Theory. He is the Editor-in-Chief of the Alabama Journal of Mathematics. He serves on the editorial boards of Linear and Multilinear Algebra, Electronic Linear Algebra, Special Matrices, and Proyecciones, Revista de Matemática.

Xuhua Liu is an Assistant Professor of Mathematics at North Greenville University. He earned a PhD in Mathematics from Auburn University under the guidance of Professor Tin-Yau Tam in August 2012. His research interests include Matrix Theory and Lie Theory.

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