An operator inequality and its consequences

  • Moslehian M
  • Mićić J
  • Kian M
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Abstract

Let f be a continuous convex function on an interval J, let A, B, C, D be self-adjoint operators acting on a Hilbert space with spectra contained in J such that A + D = B + C and A≤m≤B,C≤M≤D for two real numbers m

Author-supplied keywords

  • Convex function
  • Functional calculus
  • Jensen-Mercer operator inequality
  • Operator inequality
  • Petrović operator inequality
  • Positive linear map
  • Self-adjoint operator

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