Wyniki wyszukiwania

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Extensions of Three Matrix Inequalities to Semisimple Lie Groups

100%

Liu X., Tam T.-Y.

Special Matrices

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2014

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tom 2

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nr 1

EN

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

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Derivatives of orbital function and an extension of Berezin-Gel’fand’s theorem

100%

Tam T.-Y., Hill W. C.

Special Matrices

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2016

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tom 4

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nr 1

EN

A generalization of a result of Berezin and Gel’fand in the context of Eaton triples is given. The generalization and its proof are Lie-theoretic free and requires some basic knowledge of nonsmooth analysis. The result is then applied to determine the distance between a point and a G-orbit or its convex hull.We also discuss the derivatives of some orbital functions.

3

Extension of Wang-Gong monotonicity result in semisimple Lie groups

100%

Sarver Z., Tam T.-Y.

Special Matrices

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2015

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tom 3

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nr 1

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.

Ograniczanie wyników

3 Special Matrices

3 Tam T.-Y.

1 Hill W. C.

1 Liu X.

1 Sarver Z.

1 2016

1 2015

1 2014

Extensions of Three Matrix Inequalities to Semisimple Lie Groups

Derivatives of orbital function and an extension of Berezin-Gel’fand’s theorem

Extension of Wang-Gong monotonicity result in semisimple Lie groups