共查询到20条相似文献,搜索用时 203 毫秒
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The classic Rosenthal–Lacey theorem asserts that the Banach space of continuous real-valued maps on an infinite compact space K has a quotient isomorphic to c or . More recently, Ka?kol and Saxon [20] proved that the space endowed with the pointwise topology has an infinite-dimensional separable quotient algebra iff K has an infinite countable closed subset. Hence lacks infinite-dimensional separable quotient algebras. This motivates the following question: (?) Doesadmit an infinite-dimensional separable quotient (shortly SQ) for any infinite compact space K? Particularly, does admit SQ? Our main theorem implies that has SQ for any compact space K containing a copy of . Consequently, this result reduces problem (?) to the case when K is an Efimov space (i.e. K is an infinite compact space that contains neither a non-trivial convergent sequence nor a copy of ). Although, it is unknown if Efimov spaces exist in ZFC, we show, making use of some result of R. de la Vega (2008) (under ?), that for some Efimov space K the space has SQ. Some applications of the main result are provided. 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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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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Vladimir Shchigolev 《Journal of Algebra》2009,321(5):1453-1462
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M. Carozza F. Giannetti A. Passarelli di Napoli C. Sbordone R. Schiattarella 《Journal of Mathematical Analysis and Applications》2018,457(2):1232-1246
In this paper we introduce the class of the inner p-quasiconformal mappings, that are homeomorphisms , , where is the unit disk, such that there exists a constant for which the following distortion inequalityis satisfied. The study of such mappings is motivated by the fact that their inverses satisfy the distortion inequality introduced in [11]. Here we give a characterization of them so that their components solve a suitable uniformly elliptic p-harmonic system. Moreover, for mappings satisfying the previous distortion inequality with not necessarily constant, we identify the homeomorphism f whose p-distortion function is minimal in norm. 相似文献
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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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Abhishek Banerjee 《Comptes Rendus Mathematique》2018,356(4):365-375
Let be the spectrum of a tensor-triangulated category . We show that there is a homeomorphism between the spectral space of radical thick tensor ideals in and the collection of open subsets of in inverse topology. In fact, we prove a more general result in terms of supports on and work by combining methods from commutative algebra, topology and tensor triangular geometry. 相似文献
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Gábor Korchmáros Maria Montanucci Pietro Speziali 《Journal of Pure and Applied Algebra》2018,222(7):1810-1826
Let be the algebraic closure of a finite field of odd characteristic p. For a positive integer m prime to p, let be the transcendence degree 1 function field defined by . Let and . The extension is a non-Galois extension. Let K be the Galois closure of F with respect to H. By Stichtenoth [20], K has genus , p-rank (Hasse–Witt invariant) and a -automorphism group of order at least . In this paper we prove that this subgroup is the full -automorphism group of K; more precisely where Δ is an elementary abelian p-group of order and D has an index 2 cyclic subgroup of order . In particular, , and if K is ordinary (i.e. ) then . On the other hand, if G is a solvable subgroup of the -automorphism group of an ordinary, transcendence degree 1 function field L of genus defined over , then ; see [15]. This shows that K hits this bound up to the constant .Since has several subgroups, the fixed subfield of such a subgroup N may happen to have many automorphisms provided that the normalizer of N in is large enough. This possibility is worked out for subgroups of Δ. 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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Let p be a prime and let be a primitive p-th root of unity. For a finite extension k of containing , we consider a Kummer extension of degree p. In this paper, we show that if and the class number of k is one, the index of is one. We also show that if is tamely ramified with a normal integral basis, the index is at most a power of p. In the last section, we show that there exist infinitely many cubic Kummer extensions of for both wildly and tamely ramified cases, whose integer rings do not have a power integral basis over that of . 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