共查询到20条相似文献,搜索用时 15 毫秒
1.
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.
2.
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.
3.
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.
4.
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.
5.
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.
6.
Mamoru Furuya Hiroshi Niitsuma 《Proceedings of the American Mathematical Society》2004,132(11):3189-3193
We introduce the concept of -adic -basis as an extension of the concept of -basis. Let be a regular local ring of prime characteristic and a ring such that . Then we prove that is a regular local ring if and only if there exists an -adic -basis of and is Noetherian.
7.
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 .
8.
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.
9.
Alexandre Turull 《Proceedings of the American Mathematical Society》2004,132(9):2563-2565
We observe a simple formula to compute the number of Hall -subgroups of a -separable finite group in terms of only the action of a fixed Hall -subgroup of on a set of normal -sections of . As a consequence, we obtain that divides whenever is a subgroup of a finite -separable group . This generalizes a recent result of Navarro. In addition, our method gives an alternative proof of Navarro's result.
10.
Caroline Sweezy 《Proceedings of the American Mathematical Society》2004,132(12):3599-3606
The relationship of the Hardy space and the space of integrable functions is examined in terms of intermediate spaces of functions that are described as sums of atoms. It is proved that these spaces have dual spaces that lie between the space of functions of bounded mean oscillation, , and . Furthermore, the spaces intermediate to and are shown to be dual to spaces similar to the space of functions of vanishing mean oscillation. The proofs are extensions of classical proofs.
11.
Tianxuan Miao 《Proceedings of the American Mathematical Society》2004,132(12):3671-3678
For a locally compact group and , let be the Figà-Talamanca-Herz algebra and let be its dual Banach space. For a Banach -module of , we denote the norm closure of the subspace of the elements in with compact support by . We prove that an element of is in if and only if for any 0$">, there exists a compact subset of such that for all with and . In particular, we have that an element of is in if and only if for any 0$">, there exists a compact subset of such that for all with . If has an orthogonal complement in , we characterize by the following condition: is in if and only if for any 0$"> and any compact subset of , there exists some with and such that \Vert u\Vert - \epsilon $">. Some results of Flory (1971) and Miao (1999) can be obtained from our main theorems by taking and as some -subalgebras of .
12.
Wang Jian 《Proceedings of the American Mathematical Society》2004,132(10):2899-2909
In this paper, we study the extension of isometries between unit spheres of atomic -spaces . We find a condition under which an isometry between unit spheres can be linearly isometrically extended. Moreover, we prove that every onto isometry between unit spheres of atomic -spaces can be linearly isometrically extended to the whole space.
13.
Dongho Byeon 《Proceedings of the American Mathematical Society》2004,132(11):3137-3140
Let be a square free integer. We shall show that there exist infinitely many positive fundamental discriminants 0$"> with a positive density such that the class numbers of quadratic fields and are both not divisible by 3.
14.
We prove that there are many -degrees in the random reals.
15.
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 .
16.
Huaxin Lin 《Proceedings of the American Mathematical Society》2004,132(11):3215-3224
Let be a non-unital and -unital simple -algebra. We show that if is simple, then is purely infinite. We also show that is simple if and only if has a continuous scale provided that is not isomorphic to the compact operators.
17.
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 .
18.
Colin C. Graham 《Proceedings of the American Mathematical Society》2004,132(7):1963-1971
Theorem. If are perfect compact subsets of the locally compact metrizable abelian group, then there are pairwise disjoint perfect subsets such that (i) is either a Kronecker set or (ii) for some , is a translate of a -set all of whose elements have order , and (iii) is isomorphic to the projective tensor product .
This extends what was previously known for groups such as or for the case to the general locally compact abelian group. Old results concerning the local existence of Kronecker and -sets are improved.
19.
D. A. Redett 《Proceedings of the American Mathematical Society》2005,133(4):1151-1156
In this note we extend the ``Beurling type' characterizations of subspaces of and to and , respectively.
20.
Tavan T. Trent 《Proceedings of the American Mathematical Society》2004,132(8):2429-2432
We find the maximal invariant subspaces for on -valued Bergman-type spaces.