Norm inequalities for self-adjoint derivations
For Part II, see Topics in Operator Theory, 1994, 161-168 (1995; Zbl 0861.47005). From the introduction: The following norm inequality is proved for bounded Hilbert space operators and for all unitarily invariant norms \[ ||||A-B|^p|||\leq 2^{p-1} |||A|A|^{p-1}- B|B|^{p-1}|||, \] for all real \(p\geq 2\). If, moreover, \(A\) and \(B\) are selfadjoint, then \[ ||||AX= XB|^p|||\leq 2^{p-1}\|X\|^{p-1} ||||A|^{p-1} AX+ XB|B|^{p-1}|||, \] for all real \(p\geq 3\).
scientific article; zbMATH DE number 1006666
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