JournalsprimsVol. 48, No. 4pp. 937–955

Some Inequalities of Kato Type for Sequences of Operators in Hilbert Spaces

  • Sever S. Dragomir

    Victoria University, Melbourne, Australia
Some Inequalities of Kato Type for Sequences of Operators in Hilbert Spaces cover
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Abstract

By the use of the celebrated Kato inequality we obtain some new inequalities for nn-tuples of bounded linear operators on a complex Hilbert space HH: Natural applications for functions de ned by power series of normal operators as well as di erent inequalities concerning the Euclidean norm, the Euclidean radius, the ss-1-norms and the ss-1-radius of an n-tuple of operators are given as well.

Cite this article

Sever S. Dragomir, Some Inequalities of Kato Type for Sequences of Operators in Hilbert Spaces. Publ. Res. Inst. Math. Sci. 48 (2012), no. 4, pp. 937–955

DOI 10.2977/PRIMS/92