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Operator means, barycenters, and fixed point equations. [PDF]
Acta Sci MathVirosztek D.
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2021
In the space \(\mathrm {H}_n(q^2)\) of Hermitian matrices over \(\mathbb {F}_{q^2}\) of order n we can define a d-code as subset \(\mathrm {C}\) of \(\mathrm {H}_n(q^2)\) such that \(\mathrm {rk}(A-B)\ge d\) for every \(A, B \in \mathrm {C}\) with \(A\ne B\).
Trombetti, Rocco, Zullo, Ferdinando
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In the space \(\mathrm {H}_n(q^2)\) of Hermitian matrices over \(\mathbb {F}_{q^2}\) of order n we can define a d-code as subset \(\mathrm {C}\) of \(\mathrm {H}_n(q^2)\) such that \(\mathrm {rk}(A-B)\ge d\) for every \(A, B \in \mathrm {C}\) with \(A\ne B\).
Trombetti, Rocco, Zullo, Ferdinando
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On the metric of a non-Hermitian model
Reports on Mathematical Physics, 2010We introduce a new, exactly solvable non-Hermitian model with real spectrum, and derive a formula for the metric operator in the Hilbert space, which relates the problem to a Hermitian one.
Mesude Saglam, Ebru Ergun
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Extremal Hermitian metrics on Riemann surfaces
Calculus of Variations and Partial Differential Equations, 1999The paper under review is concerned with the following variational problem. Given a compact Riemann surface \(M\) and a Hermitian netric \(g_0\) on \(M\), minimize the energy functional \(E(g)=\int_MK^2_gdg\) with the area constraint \(A(g)=\int_Mdg=\) constant over the space of metrics \({\mathcal G}(M)\) consisting of the closure of the set of smooth
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Hermitian Metric and the Infinite Dihedral Group
Proceedings of the Steklov Institute of Mathematics, 2019For a tuple A = (A1,A2,…, An) of elements in a unital Banach algebra B, the associated multiparameter pencil is A(z) = z1A1 + z2A2 + … + znAn. The projective spectrum P(A) is the collection of z ∈ ℂn such that A(z) is not invertible. Using the fundamental form ΩA = −ω * ∧ ωA, where ...
Bryan Goldberg, Rongwei Yang
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Hermitian–Einstein metrics on holomorphic vector bundles over Hermitian manifolds
Journal of Geometry and Physics, 2005The paper under review is divided in two parts. At first the Hermitian-Einstein (HE) flow over compact Hermitian manifolds is studied and the long-time existence of the HE flow is obtained. The second part is devoted to the HE equation on holomorphic vector bundles over complete (i.e., complete, non-compact and without boundary) Hermitian (non-Kähler ...
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Extremal Hermitian metrics on Riemannian surfaces
International Mathematics Research Notices, 1998The author develops the program started in his PhD dissertation, namely the study of the variational problem of minimizing the energy functional \(E(g)\) in the variational space of all conformal metrics \(g\) with finite energy and area on a compact Riemann surface.
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Local convex deformations, hermitian metrics, and hermitian connections [PDF]
Geometriae Dedicata, 1976 openaire +1 more source