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Characterizations of certain means of positive operators
- Publication Year :
- 2019
-
Abstract
- In this paper we present some characterizations for quasi-arithmetic operator means (among them the arithmetic and harmonic means) on the positive definite cone of the full algebra of Hilbert space operators, and also for the Kubo-Ando geometric mean on the positive definite cone of a general non-commutative $C^*$-algebra.<br />Comment: to appear in Linear Algebra Appl
- Subjects :
- Mathematics - Functional Analysis
Primary: 47A64, 47B49. Secondary: 26E60
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1901.05504
- Document Type :
- Working Paper