Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality
Download
Download
DownloadExport
Dragomir, Sever S (2009) Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality. Research report collection, 12 (Supp).
Abstract
In this paper we obtain some operator inequalities for functions defined by power series with real coefficients and, more specifically, with non- negative coefficients. In order to obtain these inequalities some recent reverses of the Schwarz inequality for vectors in inner product spaces are utilized. Natural applications for some elementary functions of interest are also provided.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17963 |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | bounded linear operators, commutators, Cartesian decomposition, accretive operators |
| Citations in Scopus | 15 - View on Scopus |
| Download/View statistics | View download statistics for this item |
CORE (COnnecting REpositories)