期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1998
卷号：21
DOI：10.1155/S0161171298001069
出版社：Hindawi Publishing Corporation
摘要：A necessary and sufficient condition that a vector
f is an antieigenvector of a
strictly accretive operator A is obtained. The structure of antieigenvectors of selfadjoint and certain
class of normal operators is also found in terms of eigenvectors. The Kantorovich inequality for
selfadjoint operators and the Davis's inequality for normal operators are then easily deduced. A
sort of uniqueness is also established for the values of
Re(Af,f) and ‖Af‖ if the first antieigenvalue, which is equal to min Re(Af,f)/(‖Af‖‖f‖) is attained at the unit vector f.
