Monotonicity properties of certain class
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Boris LavricΜ
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Article
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1997
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Elsevier Science
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English
β 761 KB
Let p be a norm on K", where K = R or K = C. If S E K", ' is a nonsingular matrix, let ps be the norm on K", defined by p,(x) = p(Sx) for all r E K". This note gives some conditions on S for which p, has a certain monotonicity property, and characterizes p by monotonicity properties of all norms p,