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Some Schwarz type inequalities for sequences of operators in Hilbert spaces

Published online by Cambridge University Press:  17 April 2009

Sever S. Dragomir
Sever S. Dragomir
Affiliation:
School of Computer Science and Mathematics, Victoria University of Technology, PO Box 14428, MCMC 8001, Vic., Australia, e-mail: sever@matilda.vu.edu.au
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We give some inequalities of Cauchy-Bunyakovsky-Schwarz type for sequences of bounded linear operators in Hilbert spaces with applications.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 17 - 26
Copyright
Copyright © Australian Mathematical Society 2006

References

Referenes

[1]Dragomir, S.S., ‘On some operatorial inequalities in Hilbert spaces’, Bul. Ştiinţ. Inst. Politehn. Cluj-Napoca Ser. Mat. Mec. Apl. Construc. maş. 30 (1987), 23–28.Google Scholar
[2]Dragomir, S.S. and Mond, B., ‘On Cauchy-Buniakowski-Schwarz's inequality for sequences of linear operators in Hilbert space’, Houston J. Math. 22 (1996), 329–339.Google Scholar