We introduce new concepts of numerical range and numerical radius of one operator with respect to another one, which generalize in a natural way the known concepts of numerical range and numerical radius. We study basic properties of these new concepts and present some examples.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-2-3,
author = {Mohammad Ali Ardalani},
title = {Numerical index with respect to an operator},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {165-171},
zbl = {1316.47006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-2-3}
}
Mohammad Ali Ardalani. Numerical index with respect to an operator. Studia Mathematica, Tome 223 (2014) pp. 165-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-2-3/