New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces

By Sever Silvestru Dragomir. 2008

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Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the involved operator satisfies the usual conditions. Several new reverse inequalities for the numerical radius of a bounded linear operator are obtained as well.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/79ba1364f45b672f7e1dabcf79aa087646e196bb