共查询到10条相似文献,搜索用时 93 毫秒
1.
Janko Marovt 《Proceedings of the American Mathematical Society》2006,134(4):1065-1075
Let be a compact Hausdorff space which satisfies the first axiom of countability, let and let , be the set of all continuous functions from to If , ,is a bijective multiplicative map, then there exist a homeomorphism and a continuous map such that for all and for all
2.
We prove that any -additive family of sets in an absolutely Souslin metric space has a -discrete refinement provided every partial selector set for is -discrete. As a corollary we obtain that every mapping of a metric space onto an absolutely Souslin metric space, which maps -sets to -sets and has complete fibers, admits a section of the first class. The invariance of Borel and Souslin sets under mappings with complete fibers, which preserves -sets, is shown as an application of the previous result.
3.
Gabriel Navarro Geoffrey R. Robinson 《Proceedings of the American Mathematical Society》2005,133(10):2845-2851
Let be a -block of a finite group . If is a -power for all , then is nilpotent.
4.
R. Ayala M. Cá rdenas F. F. Lasheras A. Quintero 《Proceedings of the American Mathematical Society》2005,133(5):1527-1535
A finitely presented group is said to be properly -realizable if there exists a compact -polyhedron with and whose universal cover has the proper homotopy type of a (p.l.) -manifold with boundary. In this paper we show that, after taking wedge with a -sphere, this property does not depend on the choice of the compact -polyhedron with . We also show that (i) all -ended and -ended groups are properly -realizable, and (ii) the class of properly -realizable groups is closed under amalgamated free products (HNN-extensions) over a finite cyclic group (as a step towards proving that -ended groups are properly -realizable, assuming -ended groups are).
5.
Mohammed Hichem Mortad 《Proceedings of the American Mathematical Society》2005,133(2):455-464
We give classes of unbounded real-valued for which is self-adjoint on , , where is the wave operator defined on .
6.
Let 1$"> be a Pisot unit. A family of sets defined by a -numeration system has been extensively studied as an atomic surface or Rauzy fractal. For the purpose of constructing a Markov partition, a domain constructed by an atomic surface has appeared in several papers. In this paper we show that the domain completely characterizes the set of purely periodic -expansions.
7.
Paul A. Hagelstein Roger L. Jones 《Proceedings of the American Mathematical Society》2005,133(1):185-190
Let denote the unit circle. An example of a sublinear translation-invariant operator acting on is given such that is of restricted weak type but not of weak type .
8.
The class of -lattices was originally defined in the second author's thesis and subsequently by Longstaff, Nation, and Panaia. A subspace lattice on a Banach space which is also a -lattice is called a -subspace lattice, abbreviated JSL. It is demonstrated that every single element of has rank at most one. It is also shown that has the strong finite rank decomposability property. Let and be subspace lattices that are also JSL's on the Banach spaces and , respectively. The two properties just referred to, when combined, show that every algebraic isomorphism between and preserves rank. Finally we prove that every algebraic isomorphism between and is quasi-spatial.
9.
Francine Meylan 《Proceedings of the American Mathematical Society》2006,134(4):1023-1030
Let be a rational proper holomorphic map between the unit ball in and the unit ball in Write where and are holomorphic polynomials, with Recall that the degree of is defined by
deg
In this paper, we give a bound estimate for the degree of improving the bound given by Forstneric (1989). 10.
Xiaojie Gao S. L. Lee Qiyu Sun 《Proceedings of the American Mathematical Society》2006,134(4):1051-1057
A finitely supported sequence that sums to defines a scaling operator on functions a transition operator on sequences and a unique compactly supported scaling function that satisfies normalized with It is shown that the eigenvalues of on the space of compactly supported square-integrable functions are a subset of the nonzero eigenvalues of the transition operator on the space of finitely supported sequences, and that the two sets of eigenvalues are equal if and only if the corresponding scaling function is a uniform -spline.