Bounded Groups and Norm-Hermitian Matrices.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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MATHEMATICS RESEARCH CENTERBounded Groups and Norm-Hermitian Matrices.Technical summary rept.,Deutsch,Emeric Schneider,Hans MRC-TSR-1349DA-31-124-AROD-462, NSF-GP-37978GroupsMathematics, MatricesMathematics, TheoremsHermitian matricesAn elementary proof is given that a bounded multiplicative group of n x n complex real nonsingular matrices is similar to a unitary orthogonal group. Given a norm on complex n-space, it follows that there exists a nonsingular n x n matrix L the Loewner-John matrix for the norm such that LHL sup -1 is Hermitian for every norm-Hermitian H. Numerous applications of this result are given. Author
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