Showing papers in "Journal of Functional Analysis in 1980"

TL;DR: In this article, it was shown that the linear operator T is bounded in Lp if and only if α = 1 −(n − 1) ¦ p −1 − 2 −1 ¦ > (n −1) −1.

TL;DR: In this paper, a von Neumann algebra in H is considered and each faithful weight ψ on M′ defines an operator-valued weight of L(H) on M. For each weight ϑ on M the positive unbounded operator dϑdψ = ϑ ∘ ψ−1 satisfies all the usual properties of a Radon-Nikodym derivative.

TL;DR: In this article, the Calderon-Vaillancourt (0, 0) L2-estimate is used as a natural part of the harmonic analysis on the Heisenberg group.

TL;DR: In this paper, it was shown that in reflexive Banach spaces with a uniformly Gâteaux differentiable norm, resolvent consistency is equivalent to convergence for nonlinear contractive algorithms.

TL;DR: In this paper, a connected real semisimplepleple Lie group with Lie algebra g = t + s be the Cartan decomposition and K the maximal compact subgroup with Lie algebras t. The authors show that Θ has an asymptotic expansion at zero (in the sense of Taylor series).

TL;DR: In this article, it was shown that there exists a tensor product decomposition analogous to that of the Takesaki-Takai duality theorem for the imprimitivity algebras which arise in the theory of induced representations of twisted covariance algesbras.

TL;DR: In this article, a logarithmic Sobolev inequality was proved on the circle, analogous to Gross' inequality, and it was shown that the Poisson and heat semigroups of the circle satisfy Nelson's hypercontractive estimates.

TL;DR: Theorem 3 as mentioned in this paper uses Puiseaux expansions of the eigenvalues and resonances of H(g) to study the behavior of eigen values λ(g), as they are absorbed by the continuous spectrum, that is λ (g) ↗6 0 as g ↘5 g0 > 0.

TL;DR: In this article, the authors consider closed operator ideals, which mean operator ideals A whose components A(E, F) are closed subspaces of the space L(E and F).

TL;DR: In this article, the authors used Brownian motion ideas to study Schrodinger operators H = built−1 2 Δ + V on L p (R v ) and showed that H has no negative eigenvalues or zero energy resonances.

TL;DR: In this paper, a usable characterization of the group Fourier transform of Schwartz space on the Heisenberg group H n, in terms of certain asymptotic series was derived.

TL;DR: In this article, a holomorphic family of differential operators of infinite order is constructed that transforms conical vectors for principal series representations of quasi-split, linear, semi-simple Lie groups into Whittaker vectors.

TL;DR: In this article, a cyclic invariant subspace for a subnormal operator on H with bounded point evaluations is constructed, where the open set can be constructed to be as large as possible.

TL;DR: The axisymmetric self-gravitating rotating fluid model has been studied extensively since Poincare as discussed by the authors, and the existence of a solution for both the compressible and the incompressible cases is known.

TL;DR: The relation between the set of traces on a simple approximately finite dimensional C ∗ -algebra A and the algebraic and geometric properties of the Elliott dimension group K 0 (A ) is studied in this article.

TL;DR: In this paper, the solutions to an abstract Dirichlet problem are studied in the context of uniform algebras of analytic functions, and a version of the extended maximum principle is obtained for analytic functions of several complex variables.

TL;DR: In this article, it was shown that for strongly nonlinear operators of lower order, it is sufficient to prove two conditions on A and f under which a sequence {un}FEi of Galerkin solutions does converge to a weak solution of (*.

TL;DR: In this article, the non-linear Klein-Gordon equation was used to solve the bifurcation problem in the context of nonlinear Klein Gordon Equations (KGE).

TL;DR: In this paper, it was shown that A f (K) is invariant under the Vitushkin localization operators, i.e., it is T -invariant.

TL;DR: In this article, it was shown that a non-compact locally compact group G is minimally weakly almost periodic (w.a.p.) if each w.p. function on G can be written as g + h where g is almost periodic and h vanishes at infinity.

TL;DR: In this article, the authors give an analytic Toeplitz operator Tφ that commutes with a nonzero compact operator (i.e., a composition operator followed by an analytic toeplitzer operator).

TL;DR: In this article, a multiplier theorem for the Weyl transform is proved and sufficient conditions for the boundedness of a general operator on Lp(Rn) are derived for multipliers of the Hermite expansion.

TL;DR: The continuous version of Szego's theorem gives the first two terms of the asymptotics as α → ∞ of the determinants of certain convolution operators on L 2(0, α) with scalar-valued kernels as discussed by the authors.

TL;DR: In this article, it was shown that the eigenvalues of ( q, 2 )-absolutely summing operators are q -th power summable for r > q > 2, but in general not q-th power sumable.

TL;DR: In this paper, it was shown that with probability one, the sample paths of this process behave asymptotically like paths in classical mechanics in the limit t → + ∞.

TL;DR: In this article, the spectrum of the Frechet algebra A ∞ (gW) is isomorphic to Ω continuous in -Ω, where gW denotes the space of holomorphic functions smooth up to the boundary.

TL;DR: In this paper, a Gaussian process P on s (R d ) generated by a polynomial in the Laplace operator was considered and support properties for P were proved.

TL;DR: In this paper, the authors studied the logarithmic Sobolev inequality of Gross and its connections with the spectrum of Sturm-Liouville operators, confining their attention to a finite interval and the circle.