Jacobi fields on space of positive operators

DOI10.1016/0024-3795(93)90333-JzbMath0811.46058MaRDI QIDQ1208315

Horacio Porta, Lázaro Recht, Gustavo Corach

Publication date: 16 May 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Jacobi fieldgeodesiccanonical connectionFinsler structureincreasing Finsler norminvertible positive elements

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) General theory of (C^*)-algebras (46L05) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (1)

Minimal curves in \(\mathcal{U}(n)\) and \(\mathcal{G}l(n)^+\) with respect to the spectral and the trace norms

Cites Work

• Unnamed Item
• On the norm of a Schur product
• The norm of the Schur product operation
• The geometry of the space of selfadjoint invertible elements in a \(C^*\)-algebra
• A Geometric Interpretation of Segal's Inequality || e X + Y || ≤ || e X/2 e Y e X/2 ||

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