Accession Number:

AD0770707

Title:

Bounded Groups and Norm-Hermitian Matrices.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1973-10-01

Pagination or Media Count:

34.0

Abstract:

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

Descriptors:

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE


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