Equality of three numerical radius inequalities
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DOI: 10.1016/j.laa.2018.05.021
Abstract: Abstract For an n-by-n matrix A, let w ( A ) and ‖ A ‖ denote its numerical radius and operator norm, respectively. The following three inequalities, each a strengthening of w ( A )… read more here.
Keywords: three numerical; radius; radius inequalities; numerical radius ... See more keywords
On Numerical Radius Inequalities for Operator Matrices
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DOI: 10.1080/01630563.2018.1549073
Abstract: Abstract The aim of this article is to prove several new numerical radius inequalities for n × n operator matrices on a Hilbert space. Let be complex Hilbert spaces, and let be an n × n operator matrix with… read more here.
Keywords: radius; radius inequalities; operator matrices; numerical radius ... See more keywords
On some numerical radius inequalities for normal operators in Hilbert spaces
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DOI: 10.1080/09720502.2021.1930658
Abstract: Abstract Let T be a normal bounded operator on a Hilbert space and let ω(T) denote the numerical radius of T. In this paper, we give new inequalities numerical radius of normal operatos on a… read more here.
Keywords: normal operators; numerical radius; radius inequalities; operators hilbert ... See more keywords
Generalizations of numerical radius inequalities related to block matrices
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DOI: 10.2298/fil1915981b
Abstract: We establish several numerical radius inequalities related to 2x2 positive semidefinite block matrices. It is shown that if A,B,C ? Mn(C) are such that [A B* B C] ? 0, then wr(B)? 1/2 ||Ar +… read more here.
Keywords: block matrices; inequalities related; numerical radius; radius inequalities ... See more keywords
Numerical Radius Inequalities in 2-Inner Product Spaces
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DOI: 10.46793/kgjmat2003.415h
Abstract: In this paper, we have obtained the analogue results on numerical radius inequalities from the classical inner product spaces to 2-inner product spaces. We have established several related reverse inequalities and some well known results… read more here.
Keywords: inner product; inequalities inner; product spaces; radius inequalities ... See more keywords
Some Refinements of the Numerical Radius Inequalities via Young Inequality
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DOI: 10.46793/kgjmat2102.191h
Abstract: In this paper, we get an improvement of the Hölder-McCarthy operator inequality in the case when r ≥ 1 and refine generalized inequalities involving powers of the numerical radius for sums and products of Hilbert… read more here.
Keywords: inequality; refinements numerical; radius inequalities; numerical radius ... See more keywords
A Chain of numerical radius inequalities in complex Hilbert space
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2021-15-77
Abstract: In this paper, we implement the improvement of numerical radius inequalities that were produced by Alomari MW. [Refinements of some numerical radius inequalities for Hilbert space operators. Linear and Multilinear Algebra. 2019 Jun 4:1-6] and… read more here.
Keywords: radius; radius inequalities; hilbert space; operator matrices ... See more keywords