Structure of the antieigenvectors of a strictly accretive operator

K. C. Das, M. Das Gupta and K. Paul

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-6

Abstract:

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 ( A f , f ) and ‖ A f ‖ if the first antieigenvalue, which is equal to min Re ( A f , f ) / ( ‖ A f ‖ ‖ f ‖ ) is attained at the unit vector f .

Date: 1998
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/21/693736.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/21/693736.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:693736

DOI: 10.1155/S0161171298001069

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().