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Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform

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arxiv 1904.12096 v3 pith:OGCQSOY4 submitted 2019-04-27 math.FA

Santanu bag , Pintu Bhunia , Kallol Paul This is my paper · ORCID
classification math.FA
keywords boundsaluthgeboundedlinearnumericaloperatorradiustransform
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abstract

We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of $t$-Aluthge transform. We show that the bounds obtained are sharper than the existing bounds.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices

    math.FA 2019-08 conditional novelty 6.0 of 10

    The paper proves a strictly stronger lower bound on the numerical radius of any nonzero Hilbert space operator, using the Crawford number of its square, and derives new bounds for operator matrices.

  2. On inequalities for A-numerical radius of operators

    math.FA 2019-08 conditional novelty 5.0 of 10

    New A-numerical radius bounds are proved for operators, products, and 2x2 operator matrices in semi-Hilbertian spaces, improving on Zamani's 2019 inequalities.

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