SCALAR APPROXIMANTS OF QUADRATIC OPERATORS WITH APPLICATIONS

doi:10.7153/oam-2018-12-16

標題:	SCALAR APPROXIMANTS OF QUADRATIC OPERATORS WITH APPLICATIONS
作者:	Abu-Omar, Amer Wu, Pei Yuan 應用數學系 Department of Applied Mathematics
關鍵字:	Numerical range;quadratic operator;scalar approximant
公開日期:	1-Mar-2018
摘要:	Among other results, we find the best scalar approximant of a quadratic operator with respect to the numerical radius and the operator norm. We use these results to give estimates for the numerical radii of products and commutators of quadratic operators.
URI:	http://dx.doi.org/10.7153/oam-2018-12-16 http://hdl.handle.net/11536/144696
ISSN:	1846-3886
DOI:	10.7153/oam-2018-12-16
期刊:	OPERATORS AND MATRICES
Volume:	12
起始頁:	253
結束頁:	262
Appears in Collections:	Articles