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Paper detail

On numerical radius and Crawford number attainment sets of a bounded linear operator

We completely characterize the Crawford number attainment set and the numerical radius attainment set of a bounded linear operator on a Hilbert space. We study the intersection properties of the corresponding attainment sets of numerical radius, Crawford number, norm, minimum norm of a bounded linear operator defined on a normed space. Our study illustrates the similarities and the differences of the extremal properties of a bounded linear operator on a Hilbert space and a general normed space.

preprint2020arXivOpen access
Debmalya SainArpita MalPintu BhuniaKallol Paul
math.FA
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Debmalya SainArpita MalPintu BhuniaKallol Paul

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