Normality conditions for the BHH matrix operator

Autor:	Khakim D. Ikramov
Rok vydání:	2014
Předmět:	Semi-elliptic operator Pure mathematics Algebra and Number Theory Ladder operator Multiplication operator Spectral radius Mathematical analysis Symmetric matrix Displacement operator Shift operator Compact operator Mathematics
Zdroj:	Linear and Multilinear Algebra. 63:1901-1908
ISSN:	1563-5139 0308-1087
DOI:	10.1080/03081087.2014.978254
Popis:	The matrix operator defined by the left-hand side of the Bevis–Hall–Hartwig equation(briefly, the BHH operator) is not linear in the space of complex matrices . However, it becomes a linear operator if every matrix is replaced by the pair of real matrices of the same size, namely, by its real and imaginary parts. Introducing an appropriate scalar product in the resulting real space, we find necessary and sufficient conditions for the BHH operator to be normal.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3e4fa48ed39f0652fdd6e4423c9c87f3 https://doi.org/10.1080/03081087.2014.978254 Zobrazit plný text záznamu