Bulletin of the Australian Mathematical Society

Research Article

On Bessel and Grüss inequalities for orthonormal families in inner product spaces

S. S. Dragomira1

a1 School of Computer Science and Mathematics, Victoria University of Technology, PO Box 14428, MCMC 8001 Victoria, Australia e-mail sever.dragomir@vu.edu.au, urladdrhttp://rgmia.vu.edu.au/SSDragomirWeb.html

A new reverse of Bessel's inequality for orthornormal families in real or complex inner product space is obtained. Applications for some Grüss type results are also provided.

(Received November 03 2003)