共查询到20条相似文献,搜索用时 15 毫秒
1.
Richard A. Shore 《Proceedings of the American Mathematical Society》2004,132(2):563-565
We give a short proof of the existence of minimal Turing degrees which are but not .
2.
Bjö rn Schuster Nobuaki Yagita 《Proceedings of the American Mathematical Society》2004,132(4):1229-1239
We compute the Morava -theory of some extraspecial 2-groups and associated compact groups.
3.
For we give examples of Banach spaces isometrically embedding into but not into any with
4.
Sylvie Ruette 《Proceedings of the American Mathematical Society》2004,132(4):1091-1093
We show that there exist interval maps that are not Borel conjugate to any map. These examples can be chosen to be topologically mixing and , for any finite, arbitrarily large .
5.
Jerzy Kakol Stephen A. Saxon Aaron R. Todd 《Proceedings of the American Mathematical Society》2004,132(6):1703-1712
Let be a completely regular Hausdorff space, and let be the space of continuous real-valued functions on endowed with the compact-open topology. We find various equivalent conditions for to be a -space, resolving an old question of Jarchow and consolidating work by Jarchow, Mazon, McCoy and Todd. Included are analytic characterizations of pseudocompactness and an example that shows that, for , Grothendieck's -spaces do not coincide with Jarchow's -spaces. Any such example necessarily answers a thirty-year-old question on weak barrelledness properties for , our original motivation.
6.
Sergei V. Astashkin Lech Maligranda 《Proceedings of the American Mathematical Society》2004,132(10):2929-2938
We show that if is a rearrangement invariant space on that is an interpolation space between and and for which we have only a one-sided estimate of the Boyd index 1/p, 1 < p < \infty$">, then is an interpolation space between and . This gives a positive answer for a question posed by Semenov. We also present the one-sided interpolation theorem about operators of strong type and weak type .
7.
Shutao Chen Yunan Cui Henryk Hudzik 《Proceedings of the American Mathematical Society》2004,132(2):473-480
Criteria in order that an Orlicz space equipped with the Orlicz norm contains a linearly isometric copy (or an order linearly isometric copy) of (or ) are given.
8.
Pamela B. Pierce Daniel Waterman 《Proceedings of the American Mathematical Society》2004,132(3):755-760
The necessary and sufficient condition for to be in the class for every of that class whose range is in the domain of is that be in .
9.
Arne Ledet 《Proceedings of the American Mathematical Society》2004,132(9):2557-2561
We study the relationship between generic polynomials and generic extensions over a finite ground field, using dihedral extensions as an example.
10.
Teresa Crespo 《Proceedings of the American Mathematical Society》2004,132(3):691-695
We present an explicit construction of the complete family of Galois extensions of a field of characteristic 3 with Galois group the central product of a double cover of the symmetric group and the quaternion group , containing a given -extension of the field .
11.
Theodore A. Slaman 《Proceedings of the American Mathematical Society》2004,132(8):2449-2456
Working in the base theory of , we show that for all , the bounding principle for -formulas ( ) is equivalent to the induction principle for -formulas ( ). This partially answers a question of J. Paris.
12.
James K. Deveney David R. Finston Peter van Rossum 《Proceedings of the American Mathematical Society》2004,132(10):2841-2848
Every locally trivial action of the additive group of complex numbers on four-dimensional complex affine space that is given by a triangular derivation is conjugate to a translation. A criterion for a proper action on complex affine -space to be locally trivial is given, along with an example showing that the hypotheses of the criterion are sharp.
13.
In this paper we consider the existence problem for the elliptic equation on , which arises in the study of conformal deformation of the hyperbolic disc. We prove an existence result for the above equation.
14.
Z. Ercan 《Proceedings of the American Mathematical Society》2004,132(6):1761-1763
We prove that for a compact Hausdorff space without isolated points, and are isometrically Riesz isomorphic spaces under a certain topology on . Moreover, is a closed subspace of . This provides concrete examples of compact Hausdorff spaces such that the Dedekind completion of is (= the set of all bounded real-valued functions on ) since the Dedekind completion of is ( and spaces as Banach lattices).
15.
John T. Anderson Alexander J. Izzo John Wermer 《Proceedings of the American Mathematical Society》2004,132(5):1495-1500
We prove: Let be a compact real-analytic variety in . Assume (i) is polynomially convex and (ii) every point of is a peak point for . Then . This generalizes a previous result of the authors on polynomial approximation on three-dimensional real-analytic submanifolds of .
16.
Lucí a Ferná ndez-Suá rez Antonio Gó mez-Tato Jeffrey Strom Daniel Tanré 《Proceedings of the American Mathematical Society》2004,132(2):587-595
We show that the Lusternik-Schnirelmann category of the symplectic group is . This L-S category coincides with the cone length and the stable weak category.
17.
Michael J. Fisher 《Proceedings of the American Mathematical Society》2003,131(11):3617-3621
Let be a fixed odd prime. In this paper we prove an exponent conjecture of Bousfield, namely that the -exponent of the spectrum is for . It follows from this result that the -exponent of is at least for and , where denotes the -connected cover of .
18.
We derive sharp injectivity criteria for mappings in terms of Ahlfors' definition of the Schwarzian derivative for such mappings.
19.
Malkhaz Bakuradze Stewart Priddy 《Proceedings of the American Mathematical Society》2004,132(6):1855-1860
Let be a complex -plane bundle over the total space of a cyclic covering of prime index . We show that for the -th Chern class of the transferred bundle differs from a certain transferred class of by a polynomial in the Chern classes of the transferred bundle. The polynomials are defined by the formal group law and certain equalities in .
20.
Douglas Cenzer André Nies 《Proceedings of the American Mathematical Society》2004,132(1):239-249
Let be the lattice of classes of reals. We show there are exactly two possible isomorphism types of end intervals, . Moreover, finiteness is first order definable in .