1 - 10 of 21 articles
We prove that the Stone-Weierstrass conjectures for C*-algebras and JB*-algebras are equivalent.
Let A be a general member of a PEL-family of abelian varieties with endomorphisms by an imaginary quadratic number field k, and let E be an elliptic curve with complex multiplications by k. We show that the usual Hodge conjecture for products of A with powers of E implies the general Hodge...
The main purpose of this article is to present uniform integral inequalities for the fundamental solutions of diffusions on compact manifolds with divergence free drift vector fields. The method relies on the fact that the heat flow depends on the isoperimetric function. The isoperimetric...
Starting from known characterizations of potential spaces and of the approximation behavior of the Riesz means, explicit descriptions of K-functionals based on diverse potential spaces (defined via radial generalized Liouville or anisotropic differentiation) are given in terms of truncated...
A method for constructing hyperbolic knots each of which bounds accidental incompressible Seifert surfaces of arbitrarily high genus is given.
Homogeneous spaces of all compact Lie groups admit Riemannian metrics with completely integrable geodesic flows by means of C
–smooth integrals [9, 10]. The purpose of this paper is to give some constructions of complete involutive algebras of analytic functions, polynomial in velocities, on...
The Springer correspondence is a map from the set of unipotent conjugacy classes of a reductive algebraic group to the set of irreducible complex characters of the Weyl group. Here, we determine this map explicitly in the case of disconnected classical algebraic groups.
For a manifold M, we prove that any function defined on a vector bundle of basis M and quadratic at infinity has at least Qcat(M)+1 critical points. Here Qcat(M) is a homotopically stable version of the LS-category defined by Scheerer, Stanley and Tanré . The key homotopical result is that...
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