Operator means for operators with positive definite real part

In this article, we consider operator means for two operators with positive definite real part and geometric mean to extend Drury’s results in Drury (Linear Multilinear Algebra 63:296–301, 2015). We also study specified operators with positive definite real part to show their topological properties...

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Veröffentlicht in:Advances in operator theory 2020-07, Vol.5 (3), p.640-646
Hauptverfasser: Sano, Takashi, Sugawara, Kota
Format: Artikel
Sprache:eng
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Zusammenfassung:In this article, we consider operator means for two operators with positive definite real part and geometric mean to extend Drury’s results in Drury (Linear Multilinear Algebra 63:296–301, 2015). We also study specified operators with positive definite real part to show their topological properties with respect to Thompson’s metric.
ISSN:2662-2009
2538-225X
DOI:10.1007/s43036-019-00017-w