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Some numerical radius inequalities for products of Hilbert space operators

Some numerical radius inequalities for products of Hilbert space operators

We prove several numerical radius inequalities for products of two Hilbert space operators. Some of our inequalities improve well-known ones. More precisely, we prove that, if A,B ? B(H) such that A is self-adjoint with ?1 = min ?i ? ?(A) (the spectrum of A) and ?2 = max ?i …