Showing papers in "Journal of Functional Analysis in 1996"

TL;DR: In this paper, the existence of multiple solutions for some classes of nonlinear elliptic Dirichlet boundary value problems is studied both for second order equations and for problems involving the p -Laplacian.

TL;DR: In this paper, the authors consider the quasi-lattice ordered groups (G, P ) introduced by Nica and realize their universal Toeplitz algebra as a crossed product B P ⋊ P by a semigroup of endomorphisms.

TL;DR: In this paper, the authors classify the tame irreducible elliptic quasi-simple Lie algebras, which are simply laced and of rank l 3 3 3.

TL;DR: In this article, it was shown that if (X, ρ) is of polynomial type and satisfies second-order Gaussian bounds, then it is possible to have a bounded Hormander functional calculus or a bounded Davies-Helffer-Sjostrand functional calculus.

TL;DR: A necessary and sufficient characterization of nodal sets for the heat and wave equation in the plane is given in this article, which is equivalent to inversion for the Radon transform on circles centered on restricted subsets of the plane.

TL;DR: In this article, the authors studied the Dirichlet problem with 1 q p and h, k ∈ L ∞ ( Ω ) nonnegative functions and proved existence, nonexistence and multiplicity results depending on λ and according to the integrability properties of the ratio k p −1 / h q −1.

TL;DR: In this article, the authors constructed a trace on the algebra of classical elements in Boutet de Monvel's calculus on a compact manifold with boundary of dimensionn>2, which coincides with Wodzicki's noncommutative residue if the boundary is reduced to the empty set.

TL;DR: Gel'fand triples of test and generalized functionals in Gaussian spaces were constructed and characterized in this article, where the triples were constructed from test functions and generalized functions.

TL;DR: In this article, the authors considered the case when the locus of the minima of the intensity of the magnetic field is compact and their study is sharper when this locus is an hypersurface or a finite union of points.

TL;DR: In this paper, it was shown that the shift on the UHF algebra M n ∞ has the Rohlin property for any odd n (hence, by Brotteli et al. (1993), 615-626), for any n = 2, 3, 4, 5, 6, 7, 8).

TL;DR: In this paper, the authors extended the Hall transform to the infinite dimensional context of non-Abelian gauge theories by replacing the Lie groupG by (a certain extension of ) the space A / G of connections modulo gauge transformations.

TL;DR: For Kac algebras, there is a strong Voiculescu amenability as discussed by the authors, and a weaker notion of amenability introduced by D. Voicula, which states that a Hopf von Neumann algebra (M, Γ) is operator amenable if there exists a left invariant mean on M.

TL;DR: In this article, it was shown that the curvature of the probability space can be computed in the context of a moving frame in the Euclidean space of a Riemannian manifold.

TL;DR: In this paper, it was shown that if A is the direct limit of finite-dimensional CSL algebras via *-extendable embeddings (e.g., a triangular AF algebra), then a local derivation on A must be a derivation.

TL;DR: In this article, an extension of the notion of R-transform, defined by D. Voiculescu, to (free ) joint distributions is introduced, i.e., normalized linear functionals on algebras of non-commutative polynomials in several indeterminates.

TL;DR: In this article, an extension of Gaussian Analysis objects and structures to the case of more general measures on the dual of a nuclear space is given, where the structure of the object is defined by a Gaussian function.

TL;DR: In this paper, a method of calculating intertwining operators between principal series representations of semisimple Lie groups is presented, and the eigenvalues of the operators on the K -types are obtained.

TL;DR: In this article, a heat kernel for the Laplace-Beltrami operator on a connected compact type Lie group equipped with an AdG-invariant inner product on the Lie algebra g of G is constructed.

TL;DR: In this article, a necessary and sufficient condition for the product of two Toeplitz operators to be a compact perturbation of a Hankel operator is given. And a necessary condition is given for the products of two Hankel operators with symbols in a Sarason algebra to be in the commutator ideal.

TL;DR: In this paper, a natural generalization of the notion of a Hilbert C*-module to non-selfadjoint operator algebras has been proposed, including direct sums, tensor products, change of rings, and index for subalgebraic operators.

TL;DR: In this article, the authors consider complex Banach spaces and show that if Φ = cΘ where Θ is either an algebra-automorphism or an antiautomorphism of B ( X ) and c is a complex constant such that | c |=1.

TL;DR: In this paper, from an irreducible depth 2 inclusion of factors, verifying a regularity condition, the authors construct a multiplicative unitary and an action at every level of the canonical tower constructed from the inclusion.

TL;DR: In this paper, it was shown that the domain of any ultraweakly closed derivation from an abelian von Neumann algebra into a Lipschitz algebra can be realized as such a domain.

TL;DR: The main result of the paper characterizes degenerated solutions of the truncated L-problem of moments in two real variables from three distinct perspectives: complex analysis, moment problems, and operator theory.

TL;DR: In this paper, the authors used the limit relative category of Fournieret et al. in the equivariant context to prove two generalizations of the symmetric mountain pass theorem and a linking theorem.

TL;DR: In this paper, the authors studied the equations of the form M ( ϕ ) = F ( x, ǫ, Ãǫ ∈ C ∞ ( TX × R ) where F is an everywhere strictly positive function with an exponential growth in | ϕ | and bounded by a power of the norm of the gradient of ϕ.

TL;DR: In this paper, the authors studied the asymptotic behavior of global in time solutions of the Vlasov-Poisson-Fokker-Planck system in three dimensions.

TL;DR: In this article, it was shown that suitable families of Poincare inequalities yield global embeddings of Sobolev spaces into Lipschitz spaces, as well as Trudinger type inequalities.