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Zeitschrift für Analysis und ihre Anwendungen

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Volume 18, Issue 2, 1999, pp. 175–182
DOI: 10.4171/ZAA/875

Published online: 1999-06-30

On the Matrix Norm Subordinate to the Holder Norm

J. Albrecht[1] and P.P. Klein[2]

(1) Clausthal-Zellerfeld, Germany
(2) Clausthal-Zellerfeld, Germany

For non-negative matrices $P$ the matrix norm subordinate to the Hölder norm of index $p$ with $p \in (1,\infty)$ is determined by an eigenvalue problem $T\alpha = \lambda \alpha$, where $T$ is a homogeneous, strongly monotone operator.

Keywords: HöIder vector norms, subordinate matrix norms, non-negative matrices

Albrecht J., Klein P.P.: On the Matrix Norm Subordinate to the Holder Norm. Z. Anal. Anwend. 18 (1999), 175-182. doi: 10.4171/ZAA/875