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Lipschitz symmetric functions on Banach spaces with symmetric bases
Karpatsʹkì Matematičnì Publìkacìï, 2021 We investigate Lipschitz symmetric functions on a Banach space $X$ with a symmetric basis. We consider power symmetric polynomials on $\ell_1$ and show that they are Lipschitz on the unbounded subset consisting of vectors $x\in \ell_1$ such that $|x_n ...
M.V. Martsinkiv +3 more
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`Spindles' in symmetric spaces [PDF]
Journal of the Mathematical Society of Japan, 2006 We study families of submanifolds in symmetric spaces of compact type arising as exponential images of s-orbits of variable radii. Special attention is given to the cases where the s-orbits are symmetric.
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Nonlinear Analysis, 2015 The aim of this paper is to use common limit range property for a quadruple of non-self mappings for deriving common fixed point results under a generalized Φ-contraction condition in symmetric spaces.
Hemant Kumar Nashine, Zoran Kadelburg
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Gauged Nonlinear Sigma Model and Boundary Diffeomorphism Algebra [PDF]
, 1999 We consider Chern-Simons gauged nonlinear sigma model with boundary which has a manifest bulk diffeomorphism invariance. We find that the Gauss's law can be solved explicitly when the nonlinear sigma model is defined on the Hermitian symmetric space, and
Bak +11 more
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, 2012 Birkhoff's theorem for spherically symmetric vacuum spacetimes is a key theorem in studying local systems in general relativity theory. However realistic local systems are only approximately spherically symmetric and only approximately vacuum.
A. Krasinski +9 more
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Complete Symmetry in D2L Systems and Cellular Automata [PDF]
, 1985 We introduce completely symmetric D2L systems and cellular automata by means of an additional restriction on the corresponding symmetric devices. Then we show that completely symmetric D2L systems and cellular automata are still able to simulate Turing ...
Asveld, Peter R.J.
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G -Strands on symmetric spaces [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017 We study the G -strand equations that are extensions of the classical chiral model of particle physics in the particular setting of broken symmetries described by symmetric spaces. These equations are simple field theory models whose configuration space is a Lie group, or in this case a symmetric space.
Alexis Arnaudon +2 more
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Semi-invariants of symmetric quivers of tame type [PDF]
, 2010 A symmetric quiver $(Q,\sigma)$ is a finite quiver without oriented cycles $Q=(Q_0,Q_1)$ equipped with a contravariant involution $\sigma$ on $Q_0\sqcup Q_1$. The involution allows us to define a nondegenerate bilinear form $$ on a representation $V$ of $
A Schofield +23 more
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Symmetric submanifolds in symmetric spaces
Differential Geometry and its Applications, 2002 A submanifold \(N\) of a Riemannian manifold \(M\) is called a symmetric submanifold if for each point \(p\) in \(N\) there exists an involutive isometry of \(M\) which fixes \(p\), leaves \(N\) invariant and whose differential at \(p\) fixes the normal vectors of \(N\) at \(p\) and reflects the tangent vectors. (For \(M= E^n\), see \textit{D. Ferus}, [
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New type of difference sequence spaces of fuzzy real numbers
Mathematical Modelling and Analysis, 2009 In this paper we introduce the natation difference operator Δrn(m ≥ 0, an integer) for studying properties of some sequence spaces. We define the sequence spaces l ∞ F (Δm), cF(Δm), cF o(Δm) and investigate their properties like solid‐ness, convergence ...
Binod Chandra Tripathy +1 more
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