Monotonicity of the maximum of inner product norms

Lavrič, Boris. "Monotonicity of the maximum of inner product norms." Commentationes Mathematicae Universitatis Carolinae 45.3 (2004): 383-388. <http://eudml.org/doc/249365>.

@article{Lavrič2004,
abstract = {Let $\mathbb \{K\}$ be the field of real or complex numbers. In this note we characterize all inner product norms $p_1,\ldots ,p_m$ on $\mathbb \{K\}^n$ for which the norm $x\longmapsto \max \lbrace p_1(x),\ldots ,p_m(x)\rbrace $ on $\mathbb \{K\}^n$ is monotonic.},
author = {Lavrič, Boris},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {finite dimensional vector space; monotonic norm; absolute norm; inner product norm; finite dimensional vector space; monotonic norm; absolute norm; inner product norm},
language = {eng},
number = {3},
pages = {383-388},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Monotonicity of the maximum of inner product norms},
url = {http://eudml.org/doc/249365},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Lavrič, Boris
TI - Monotonicity of the maximum of inner product norms
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 3
SP - 383
EP - 388
AB - Let $\mathbb {K}$ be the field of real or complex numbers. In this note we characterize all inner product norms $p_1,\ldots ,p_m$ on $\mathbb {K}^n$ for which the norm $x\longmapsto \max \lbrace p_1(x),\ldots ,p_m(x)\rbrace $ on $\mathbb {K}^n$ is monotonic.
LA - eng
KW - finite dimensional vector space; monotonic norm; absolute norm; inner product norm; finite dimensional vector space; monotonic norm; absolute norm; inner product norm
UR - http://eudml.org/doc/249365
ER -