6533b855fe1ef96bd12b1bdf

RESEARCH PRODUCT

Positive linear maps on normal matrices

Eun-young LeeJean-christophe Bourin

subject

Pure mathematicsComputer Science::Information RetrievalGeneral Mathematics010102 general mathematicsAstrophysics::Instrumentation and Methods for AstrophysicsComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)010103 numerical & computational mathematics01 natural sciencesUnitary stateNormal matrixFunctional Analysis (math.FA)Mathematics - Functional AnalysisLinear mapSimple (abstract algebra)Bounded functionFOS: MathematicsComputer Science::General Literature0101 mathematicsOrbit (control theory)Linear combinationMathematics

description

For a positive linear map [Formula: see text] and a normal matrix [Formula: see text], we show that [Formula: see text] is bounded by some simple linear combinations in the unitary orbit of [Formula: see text]. Several elegant sharp inequalities are derived, for instance for the Schur product of two normal matrices [Formula: see text], [Formula: see text] for some unitary [Formula: see text], where the constant [Formula: see text] is optimal.

yearjournalcountryeditionlanguage
2018-11-01International Journal of Mathematics
https://doi.org/10.1142/s0129167x1850088x