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Original Articles

The generalized numerical radius associated with a positive semi-definite function

Pages 265-281 | Received 26 Nov 1990, Published online: 20 Jan 2011
 

Abstract

Let 1 ≥ mn, and let df be the generalized matrix function associated with a non-zero positive semi-definite function f GC, where Gis a subgroup ot Sm. For an n-square complex matrix A, define

Some inequalities involving rf (A) are investigated.

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