Convexity properties of \(tr[(a^*a)^n]\)

DOI10.1016/S0024-3795(00)00050-1zbMath0964.15010MaRDI QIDQ1583715

Luis E. Mata-Lorenzo, Lázaro Recht

Publication date: 30 October 2000

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

zbMATH Keywords

quadratic form\(C^*\)- algebraconvexity of type \(s>1\)Hessian of a convex function

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Convex functions and convex programs in convex geometry (52A41) General theory of (C^*)-algebras (46L05) Quadratic and bilinear forms, inner products (15A63)

Related Items (7)

Geometry of infinite dimensional unitary groups: convexity and fixed points ⋮ The left invariant metric in the general linear group ⋮ Homogeneous manifolds from noncommutative measure spaces ⋮ Optimal paths for symmetric actions in the unitary group ⋮ Finsler geometry and actions of the $p$-Schatten unitary groups ⋮ Natural variational problems in the Grassmann manifold of a \(C^*\)-algebra with trace ⋮ GEOMETRY OF UNITARIES IN A FINITE ALGEBRA: VARIATION FORMULAS AND CONVEXITY

Cites Work

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• Notes on non-commutative integration
• Infinite dimensional homogeneous reductive spaces and finite index conditional expectations
• Minimality of Geodesics in Grassmann Manifolds
• Morse Theory. (AM-51)
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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