Inequalities relating unitarily invariant norms and the numerical radius
- 1 June 1988
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 23 (2) , 183-191
- https://doi.org/10.1080/03081088808817868
Abstract
For a unitarily invariant norm N(⋅) and the numerical radius r(⋅) on , we determine the largest constant Cm and the smallest constant CM such that . Specialization to the p,k-norms includes the case in which N(⋅) is the Frobenius norm, which motivated this work. In addition, the nonzero matrices A for which equality is attained (in one of the above inequalities) are characterized.Keywords
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