Results 141 to 150 of about 1,195,827 (191)
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Asian-European Journal of Mathematics, 2009
We introduce a class of Riemannian symmetric spaces, called Jordan symmetric spaces, which correspond to real Jordan triple systems and may be infinite dimensional. This class includes the symmetric R-spaces as well as the Hermitian symmetric spaces.
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We introduce a class of Riemannian symmetric spaces, called Jordan symmetric spaces, which correspond to real Jordan triple systems and may be infinite dimensional. This class includes the symmetric R-spaces as well as the Hermitian symmetric spaces.
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Symmetric Coordinate Spaces and Symmetric Bases
Canadian Journal of Mathematics, 1967In this paper properties of symmetric coordinate spaces and symmetric bases are investigated. Since a space which possesses a basis is essentially a space of sequences (12, p. 207), the interrelation of these two concepts naturally suggests itself.Section 2 is a summary of the terminology and methods employed, which fall into four categories: (1) set ...
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Acta Mathematica Hungarica, 2000
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Bandyopadhyay, S., De, U. C.
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Bandyopadhyay, S., De, U. C.
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Metrization of Symmetric Spaces
Canadian Journal of Mathematics, 1975A distance function d on a set X is a function X × X → [0, ∞ ) satisfying (1) d(x, y) = 0 if and only if x = y, and (2) d(x, y) = d(y, x). Such a function determines a topology T on X by agreeing that U is an open set if it contains an ∈-sphere N(p; ∈)( = {x: d(p, x) < ∈﹜} about each of its points.
Harley, P. W. III, Faulkner, G. D.
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Symmetric Submanifolds of Riemannian Symmetric Spaces and Symmetric R-spaces
2007Symmetric submanifolds are defined analogously to Riemannian symmetric spaces in the theory of Riemannian submanifolds. This notion was introduced by D. Ferus ([2], 1980) firstly for a submanifold of a Euclidean space and can be easily extended to a submanifold of a general Riemannian manifold.
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Semisimple Symplectic Symmetric Spaces
Geometriae Dedicata, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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WEAKLY SYMMETRIC FINSLER SPACES
Communications in Contemporary Mathematics, 2010In this paper, we introduce the notion of weakly symmetric Finsler spaces and study some geometrical properties of such spaces. In particular, we prove that each maximal geodesic in a weakly symmetric Finsler space is the orbit of a one-parameter subgroup of the full isometric group.
Deng, Shaoqiang, Hou, Zixin
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Noncommutative Symmetric Hardy Spaces
Integral Equations and Operator Theory, 2014Let \(\mathcal{M}\) be a finite von Neumann algebra with a faithful normal finite trace \(\tau\), let \(\mathcal{A}\) be a subdiagonal subalgebra of \(\mathcal{M}\) and \(E\) a symmetric quasi-Banach space on \([0,1]\). The author introduces noncommutative Hardy spaces \(H_E(\mathcal{A})\) and generalizes to this setting various results obtained ...
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Foliations of Symmetric Spaces
American Journal of Mathematics, 1993The author proves the following theorems: (1) Let \({\mathcal F}\) be a Riemannian foliation of a compact manifold \(M\) with constant curvature \(\kappa\). If \(\kappa=0\), then \(M\) splits locally isometrically as \(B \times F\) and the leaves of \({\mathcal F}\) locally coincide with \(\{p\} \times F\), \(p \in B\).
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