On the Hölder continuity of matrix functions for normal matrices. (English) Zbl 1180.15022
Summary: We investigate the Hölder continuity of matrix functions applied to normal matrices provided that the underlying scalar function is Hölder continuous. Furthermore, a few examples are given.
MSC:
| 15A54 | Matrices over function rings in one or more variables |
| 15B57 | Hermitian, skew-Hermitian, and related matrices |
| 15A45 | Miscellaneous inequalities involving matrices |
| 15A60 | Norms of matrices, numerical range, applications of functional analysis to matrix theory |
