Siegel domains over Finsler symmetric cones
نویسندگان
چکیده
Abstract Let ? be a proper open cone in real Banach space V . We show that the tube domain V ? i ? ? {V\oplus i\Omega} over is biholomorphic to bounded symmetric if and only normal linearly homogeneous Finsler cone, which equivalent condition unital JB-algebra an norm interior of { v 2 : ? stretchy="false">} {\{v^{2}:v\in V\}}
منابع مشابه
Exact duality for optimization over symmetric cones
We present a strong duality theory for optimization problems over symmetric cones without assuming any constraint qualification. We show important complexity implications of the result to semidefinite and second order conic optimization. The result is an application of Borwein and Wolkowicz’s facial reduction procedure to express the minimal cone. We use Pataki’s simplified analysis and provide...
متن کاملAnalytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones
We give various equivalent formulations to the (partially) open problem about Lboundedness of Bergman projections in tubes over cones. Namely, we show that such boundedness is equivalent to the duality identity between Bergman spaces, A ′ = (Ap)∗, and also to a Hardy type inequality related to the wave operator. We introduce analytic Besov spaces in tubes over cones, for which such Hardy inequa...
متن کاملT-algebras and linear optimization over symmetric cones
Euclidean Jordan-algebra is a commonly used tool in designing interiorpoint algorithms for symmetric cone programs. T -algebra, on the other hand, has rarely been used in symmetric cone programming. In this paper, we use both algebraic characterizations of symmetric cones to extend the target-following framework of linear programming to symmetric cone programming. Within this framework, we desi...
متن کاملPolynomial Convergence of Infeasible-Interior-Point Methods over Symmetric Cones
We establish polynomial-time convergence of infeasible-interior-point methods for conic programs over symmetric cones using a wide neighborhood of the central path. The convergence is shown for a commutative family of search directions used in Schmieta and Alizadeh [9]. These conic programs include linear and semidefinite programs. This extends the work of Rangarajan and Todd [8], which establi...
متن کاملA Continuation Method for Nonlinear Complementarity Problems over Symmetric Cones
In this paper, we introduce a new P -type condition for nonlinear functions defined over Euclidean Jordan algebras, and study a continuation method for nonlinear complementarity problems over symmetric cones. This new P -type condition represents a new class of nonmonotone nonlinear complementarity problems that can be solved numerically.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Crelle's Journal
سال: 2021
ISSN: ['1435-5345', '0075-4102']
DOI: https://doi.org/10.1515/crelle-2021-0027