In general there are infinitely many choices of self-dual cones in a Hilbert space. Each of these lead to a distinct family of operator inequalities in the Hilbert space which enables us to analyze quantum physical models with respect to several aspects. We refer to these applications as self...
Quantum Fields — Algebras, Processes J. Bellissard& B. Iochum 171Accesses Abstract It is shown that the category of homogeneous self-dual cones in Hilbert spaces is isomorphic to the category of Jordan Banach algebras with predual (JBW-algebras). ...
Homogeneous and facially homogeneous self-dual cones 来自 dx.doi.org 喜欢 0 阅读量: 90 作者:J Bellissard,B Iochum,R Lima 摘要: We show that any self-dual come in a real finite dimensional Hilbert space is homogeneous iff it is facially homogeneous in the sense of A. Connes. We ...
\(\lambda _\alpha {\bar{\lambda }}_{\dot{\alpha }}\) is the null vector aligned along the outward going light cones from the origin. conformal compactification is achieved through the inversion \(r=r^{-1}\) , with future null infinity \(\mathscr {i}^+\) brought to the finite h...
Key words. symmetric cones, self-scaled cones, primal-dual methods, interior-point methods, weighted analytic centers, target-f... 展开 DOI: doi:http://dx.doi.org/ 被引量: 13 年份: 1999 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 Semantic Scholar Semantic Scholar (全网免费...
terior-p oin t metho ds for self-scaled cones. SIAM Journal on Optimization, 8:324{364, 1998. [8] L. T un� cel. Primal-dual symmetry and scale in v ariance of in terior-p oin t algorithms for con v ex optimization. Mathematics of Op er ations R ese ar ch, 23, 1998. 4相...
Self-dual coneThe self-dual cone - the central object of this review - is introduced. Several operator inequalities associated with the self-dual cone are defined and mathematical properties of those are investigated. In general there are infinitely many choices of self-dual cones in a Hilbert ...
Z.: Selfdual cones, generalized lattice operations and isotone projections. arXiv:1210.2324 (2012)A. B. N´emeth and S. Z. N´emeth, "Selfdual cones, generalized lattice operations and isotone projections," 2012, arXiv:1210.2324....
J. BE´ LLISSARD and B. IOCHUM. Homogeneous self-dual cones and Jordan algebras. In Quantum fields--algebras, processes (Proc. Sympos., Univ. Bielefeld, Bielefeld, 1978), pages 153-165. Springer, Vienna, 1980.J. BE´LLISSARD and B. IOCHUM. Homogeneous self-dual cones and Jordan ...
Radon-Nikodym theoremself-dual conestandard form of von Neumann algebraLet (.M,H,J,H~+) be a standard form of a von Neumann algebra.We consider an order for operators preserving a self-dual cone H~+. Let A, B bepositive semi-definite operators on 71 such that A preserves H+ and B...