共查询到20条相似文献,搜索用时 15 毫秒
1.
Dusan Repovs Arkadij B. Skopenkov Evgenij V. Scepin 《Proceedings of the American Mathematical Society》1996,124(4):1219-1226
We give the characterization of -homogeneous compacta in : Let be a locally compact (possibly nonclosed) subset of . Then is -homogeneous if and only if is a -submanifold of .
2.
Osamu Saeki Kazuhiro Sakuma 《Transactions of the American Mathematical Society》1996,348(7):2585-2606
We give two congruence formulas concerning the number of non-trivial double point circles and arcs of a smooth map with generic singularities --- the Whitney umbrellas --- of an -manifold into , which generalize the formulas by Szücs for an immersion with normal crossings. Then they are applied to give a new geometric proof of the congruence formula due to Mahowald and Lannes concerning the normal Euler number of an immersed -manifold in . We also study generic projections of an embedded -manifold in into and prove an elimination theorem of Whitney umbrella points of opposite signs, which is a direct generalization of a recent result of Carter and Saito concerning embedded surfaces in . The problem of lifting a map into to an embedding into is also studied.
3.
Michael Marsalli 《Proceedings of the American Mathematical Society》1997,125(3):779-784
Let be a von Neumann algebra with a faithful, finite, normal tracial state , and let be a finite, maximal subdiagonal algebra of . Let be the closure of in the noncommutative Lebesgue space . Then possesses several of the properties of the classical Hardy space on the circle, including a commutant lifting theorem, some results on Toeplitz operators, an factorization theorem, Nehari's Theorem, and harmonic conjugates which are bounded.
4.
Kanghui Guo 《Proceedings of the American Mathematical Society》1997,125(5):1329-1340
A uniform estimate of Bessel functions is obtained, which is used to get a characterization of the measures on the unit sphere of in terms of the mixed norm of the Fourier transform of the measures.
5.
We consider the homotopy type of classifying spaces , where is a finite -group, and we study the question whether or not the mod cohomology of , as an algebra over the Steenrod algebra together with the associated Bockstein spectral sequence, determine the homotopy type of . This article is devoted to producing some families of finite 2-groups where cohomological information determines the homotopy type of .
6.
7.
Let be the \u{C}ech-Stone remainder . We show that there exists a large class of images of such that whenever is a subset of of cardinality at most the continuum, then is again an image of . The class contains all separable compact spaces, all compact spaces of weight at most and all perfectly normal compact spaces.
8.
The -norm of the curvature tensor
defines a Riemannian functional on the space of metrics. This work exhibits a metric on which is of Berger type but not of constant ricci curvature, and yet is critical for .
9.
A weighted estimate with power weights is established for the maximal operator associated with the commutator of the Bochner-Riesz operator. An application of this weighted estimate is also given.
10.
Mark J. Gotay Hendrik Grundling C. A. Hurst 《Transactions of the American Mathematical Society》1996,348(4):1579-1597
We prove that there does not exist a nontrivial quantization of the Poisson algebra of the symplectic manifold which is irreducible on the su(2) subalgebra generated by the components of the spin vector. In fact there does not exist such a quantization of the Poisson subalgebra consisting of polynomials in . Furthermore, we show that the maximal Poisson subalgebra of containing that can be so quantized is just that generated by .
11.
Sanxing Wu 《Proceedings of the American Mathematical Society》1997,125(10):3119-3123
We derive a sufficient condition for a radially symmetric function which is positive somewhere to be a conformal curvature on . In particular, we show that every nonnegative radially symmetric continuous function on is a conformal curvature.
12.
Let be a finite nonzero Borel measure in satisfying for all and and some . If the Riesz -transform
is essentially bounded, then is an integer. We also give a related result on the -boundedness.
13.
Ví ctor Jimé nez Ló pez L'ubomí r Snoha 《Proceedings of the American Mathematical Society》1997,125(6):1667-1673
Let be a continuous map of an interval into itself having periodic points of period for all and no other periods. It is shown that every neighborhood of contains a map such that the set of periods of the periodic points of is finite. This answers a question posed by L. S. Block and W. A. Coppel.
14.
Daniel M. Oberlin 《Proceedings of the American Mathematical Society》1997,125(5):1355-1361
Let and fix an interval . If is the operator on defined by , then maps into .
15.
S. M. Bhatwadekar Amartya K. Dutta 《Transactions of the American Mathematical Society》1997,349(8):3303-3319
In this paper we study the kernel of a non-zero locally nilpotent -derivation of the polynomial ring over a noetherian integral domain containing a field of characteristic zero. We show that if is normal then the kernel has a graded -algebra structure isomorphic to the symbolic Rees algebra of an unmixed ideal of height one in , and, conversely, the symbolic Rees algebra of any unmixed height one ideal in can be embedded in as the kernel of a locally nilpotent -derivation of . We also give a necessary and sufficient criterion for the kernel to be a polynomial ring in general.
16.
Jen-Tseh Chang James W. Cogdell 《Proceedings of the American Mathematical Society》1999,127(4):1251-1256
We compute the -homology for a class of representations of
and which admit a Whittaker model. They are all completely reducible.
and which admit a Whittaker model. They are all completely reducible.
17.
Douglas R. Farenick Phillip B. Morenz 《Transactions of the American Mathematical Society》1997,349(5):1725-1748
18.
P. M. Gadea J. Muñ oz Masqué 《Proceedings of the American Mathematical Society》1996,124(5):1437-1443
Let be a finite-dimensional commutative algebra over and let , and be the ring of -differentiable functions of class , the ring of real analytic mappings with values in and the ring of -analytic functions, respectively, defined on an open subset of . We prove two basic results concerning -differentiability and -analyticity: ) , ) if and only if is defined over .
19.
Varghese Mathai Melvin Rothenberg 《Proceedings of the American Mathematical Society》1998,126(3):887-897
We prove the homotopy invariance of torsion for covering spaces, whenever the covering transformation group is either residually finite or amenable. In the case when the covering transformation group is residually finite and when the cohomology of the covering space vanishes, the homotopy invariance was established by Lück. We also give some applications of our results.
20.
Sanghyun Cho 《Proceedings of the American Mathematical Society》1998,126(8):2285-2289
Let be a smoothly bounded pseudoconvex domain of finite type in . We prove the Mergelyan approximation property in various topologies on when the estimates for -equation are known in the corresponding topologies.