Power inequalities for weighted numerical radius and norm of operators
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DOI: 10.1515/gmj-2025-2052
Abstract: Abstract For a bounded linear operator T on a complex Hilbert space ℋ {\mathcal{H}} , we define the weighted real and imaginary parts of the operator T as ℜ t ( T ) :=… read more here.
Keywords: numerical radius; power inequalities; inequalities weighted; norm ... See more keywords
The weighted numerical radius in Hilbert C*-modules
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DOI: 10.2298/fil2402437c
Abstract: In this paper, we introduce the definition of the weighted numerical radius ??(x) for x ? E by using the linking algebra of a Hilbert C*-modules E, which extends the definition of numerical radius ?(x)… read more here.
Keywords: numerical radius; radius; hilbert modules; radius hilbert ... See more keywords