共查询到20条相似文献,搜索用时 709 毫秒
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Dana Bartošová Jordi Lopez-Abad Martino Lupini Brice Mbombo 《Comptes Rendus Mathematique》2017,355(12):1242-1246
We show that the class of finite-dimensional Banach spaces and the class of finite-dimensional Choquet simplices have the Ramsey property. As an application, we show that the group of surjective linear isometries of the Gurarij space is extremely amenable, and that the canonical action is the universal minimal flow of the group of affine homeomorphisms of the Poulsen simplex . This answers questions of Melleray–Tsankov and Conley–Törnquist. 相似文献
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Dennis I. Merino 《Linear algebra and its applications》2012,436(7):1960-1968
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Steven Simon 《Journal of Combinatorial Theory, Series A》2013,120(7):1906-1912
Equivariant Ham Sandwich Theorems are obtained for the classical algebras and the finite subgroups G of their unit spheres. Given any n -valued Borel measures on and any n-dimensional free -unitary representation of G, it is shown that there exists a Voronoi partition of naturally determined by G which “G-balances” each measure, as realized by the simultaneous vanishing of each “G-average” of the measures of the partition?s isometric fundamental domains. Applications for real measures follow, among them that any n signed mass distributions on can be equipartitioned by a single complex regular p-fan if p is an odd prime. 相似文献
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Seung-Jo Jung 《Journal of Pure and Applied Algebra》2018,222(7):1579-1605
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Paolo Boggiatto Carmen Fernández Antonio Galbis 《Applied and Computational Harmonic Analysis》2017,42(1):65-87
Inspired by results of Kim and Ron, given a Gabor frame in , we determine a non-countable generalized frame for the non-separable space of the Besicovic almost periodic functions. Gabor type frames for suitable separable subspaces of are constructed. We show furthermore that Bessel-type estimates hold for the AP norm with respect to a countable Gabor system using suitable almost periodic norms of sequences. 相似文献
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In this article, we obtain the sharp bounds from LP to the space wLP for Hardy operators on product spaces. More generally, the precise norms of Hardy operators on product spaces from LP to the space LPI are obtained. 相似文献
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Indranil Biswas Subramaniam Senthamarai Kannan Donihakalu Shankar Nagaraj 《Comptes Rendus Mathematique》2017,355(4):452-454
Let be the wonderful compactification of a simple affine algebraic group G of adjoint type defined over . Let be the closure of a maximal torus . We prove that the group of all automorphisms of the variety is the semi-direct product , where is the normalizer of T in G and D is the group of all automorphisms of the Dynkin diagram, if . Note that if , then and so in this case . 相似文献
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Let V be a 6-dimensional vector space over a field , let f be a nondegenerate alternating bilinear form on V and let denote the symplectic group associated with . The group has a natural action on the third exterior power of V and this action defines five families of nonzero trivectors of V. Four of these families are orbits for any choice of the field . The orbits of the fifth family are in one-to-one correspondence with the quadratic extensions of that are contained in a fixed algebraic closure of . In this paper, we divide the orbits corresponding to the separable quadratic extensions into suborbits for the action of on . 相似文献
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Cristhian E. Hidber Miguel A. Xicoténcatl 《Journal of Pure and Applied Algebra》2018,222(6):1478-1488
The purpose of this article is to compute the mod 2 cohomology of , the mapping class group of the Klein bottle with q marked points. We provide a concrete construction of Eilenberg–MacLane spaces and fiber bundles , where denotes the configuration space of unordered q-tuples of distinct points in and is the classifying space of the group . Moreover, we show the mod 2 Serre spectral sequence of the bundle above collapses. 相似文献
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Enkelejd Hashorva Oleg Seleznjev Zhongquan Tan 《Journal of Mathematical Analysis and Applications》2018,457(1):841-867
This contribution is concerned with Gumbel limiting results for supremum with centered Gaussian random fields with continuous trajectories. We show first the convergence of a related point process to a Poisson point process thereby extending previous results obtained in [8] for Gaussian processes. Furthermore, we derive Gumbel limit results for as and show a second-order approximation for for any . 相似文献
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Filippo Bracci Manuel D. Contreras Santiago Díaz-Madrigal 《Journal de Mathématiques Pures et Appliquées》2017,107(1):78-99
Let , be two one-parameter semigroups of holomorphic self-maps of the unit disk . Let be a homeomorphism. We prove that, if for all , then f extends to a homeomorphism of outside exceptional maximal contact arcs (in particular, for elliptic semigroups, f extends to a homeomorphism of ). Using this result, we study topological invariants for one-parameter semigroups of holomorphic self-maps of the unit disk. 相似文献
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