JournalsprimsVol. 43, No. 4pp. 1095–1110

Inequalities for Some Functionals Associated with Bounded Linear Operators in Hilbert Spaces

  • Sever S. Dragomir

    Victoria University, Melbourne, Australia
Inequalities for Some Functionals Associated with Bounded Linear Operators in Hilbert Spaces cover
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Abstract

Some inequalities between the operator norm, numerical radius and the functionals vp, δp defined in terms of the real and imaginary part of ‹Ax, x›, xH, ‖x‖ = 1 are established. New upper bounds for the nonnegative quantity ‖A‖2 − w2 (A) with AB(H) that complement some recent results of the author are given as well.

Cite this article

Sever S. Dragomir, Inequalities for Some Functionals Associated with Bounded Linear Operators in Hilbert Spaces. Publ. Res. Inst. Math. Sci. 43 (2007), no. 4, pp. 1095–1110

DOI 10.2977/PRIMS/1201012380