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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.
∗The work of this author was supported by National Science Foundation grant DMS-8713762 and by Office of Naval Research contracts N00014-86-K0693 and N00014-86-K0012
†The work of this author was supported by National Science Foundation grant DMS-8521521
∗The work of this author was supported by National Science Foundation grant DMS-8713762 and by Office of Naval Research contracts N00014-86-K0693 and N00014-86-K0012
†The work of this author was supported by National Science Foundation grant DMS-8521521
Notes
∗The work of this author was supported by National Science Foundation grant DMS-8713762 and by Office of Naval Research contracts N00014-86-K0693 and N00014-86-K0012
†The work of this author was supported by National Science Foundation grant DMS-8521521
