Operator Power means in the View of Fixed Points

Operator Power means in the View of Fixed Points

As generalization of Pythagorean means, several kinds of the power mean of positive definite Hermitian matrices have been studied. We introduce new power mean of positive definite operators as a fixed point of the equation modified from the operator Rényi divergence. We study its fundamental propert...

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Veröffentlicht in:Complex analysis and operator theory 2022-11, Vol.16 (8), Article 118
1. Verfasser: Kim, Sejong
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Divergence
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrices (mathematics)
Operator Theory
Spectral Theory and Operators in Mathematical Physics
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Zusammenfassung:As generalization of Pythagorean means, several kinds of the power mean of positive definite Hermitian matrices have been studied. We introduce new power mean of positive definite operators as a fixed point of the equation modified from the operator Rényi divergence. We study its fundamental properties and compare it with other power means.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-022-01298-5