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951.
Fangyan Lu 《Proceedings of the American Mathematical Society》2007,135(8):2581-2590
We describe the structure of Lie derivations of -subspace lattice algebras. The results can apply to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras, respectively.
952.
We obtain a global estimate for the weak solution to an elliptic partial differential equation of -Laplacian type with BMO coefficients in a Lipschitz domain with small Lipschitz constant.
953.
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.
954.
F. E. A. Johnson 《Proceedings of the American Mathematical Society》2004,132(2):579-586
We show that when there is a minimal algebraic -complex over the quaternion group which is not homotopy equivalent to the Cayley complex of the standard minimal presentation. This raises the possibility that Wall's D(2)-property might fail for .
955.
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.
956.
Hiroshi Goda Chuichiro Hayashi Hyun-Jong Song 《Proceedings of the American Mathematical Society》2004,132(11):3449-3456
Let be a knot in a closed orientable irreducible 3-manifold . Suppose admits a genus 1 Heegaard splitting and we denote by the splitting torus. We say is a -genus -bridge splitting of if intersects transversely in two points, and divides into two pairs of a solid torus and a boundary parallel arc in it. It is known that a -genus -bridge splitting of a satellite knot admits a satellite diagram disjoint from an essential loop on the splitting torus. If and the slope of the loop is longitudinal in one of the solid tori, then is obtained by twisting a component of a -bridge link along the other component. We give a criterion for determining whether a given -genus -bridge splitting of a knot admits a satellite diagram of a given slope or not. As an application, we show there exist counter examples for a conjecture of Ait Nouh and Yasuhara.
957.
Narutaka Ozawa 《Proceedings of the American Mathematical Society》2004,132(2):487-490
Gromov constructed uncountably many pairwise nonisomorphic discrete groups with Kazhdan's property . We will show that no separable -factor can contain all these groups in its unitary group. In particular, no separable -factor can contain all separable -factors in it. We also show that the full group -algebras of some of these groups fail the lifting property.
958.
E. G. Kwon 《Proceedings of the American Mathematical Society》1996,124(5):1473-1480
If is a holomorphic self-map of the open unit disc and , then the following are equivalent. for all Bloch functions .
where is the hyperbolic derivative of : .
959.
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.
960.
Winfried Just Ol'ga V. Sipacheva Paul J. Szeptycki 《Proceedings of the American Mathematical Society》1996,124(4):1227-1235
Examples of spaces are constructed for which is not normal but all closed discrete subsets are countable. A monolithic example is constructed in ZFC and a separable first countable example is constructed using .