An iterative method for computing zeros of operators satisfying autonomous differential equations.
An iterative method for generalized equilibrium problems, fixed point problems and variational inequality problems.
An iterative method for nonconvex equilibrium problems.
An iterative method for solving the generalized system of relaxed cocoercive quasivariational inclusions and fixed point problems of an infinite family of strictly pseudocontractive mappings.
An iterative method for variational inequality problems and fixed point problems in Hilbert spaces
An Iterative Procedure for Solving Nonsmooth Generalized Equation
2000 Mathematics Subject Classification: 47H04, 65K10.In this article, we study a general iterative procedure of the following form 0 ∈ f(xk)+F(xk+1), where f is a function and F is a set valued map acting from a Banach space X to a linear normed space Y, for solving generalized equations in the nonsmooth framework. We prove that this method is locally Q-linearly convergent to x* a solution of the generalized equation 0 ∈ f(x)+F(x) if the set-valued map [f(x*)+g(·)−g(x*)+F(·)]−1 is Aubin continuous...
An iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces.
An Lp Estimate for the Difference of Derivatives of Spectral Expansions Arising by One-dimensional Schroedinger Operators
An -functional calculus for power-bounded operators on certain UMD spaces
For 1 ≤ q < ∞, let denote the Banach algebra consisting of the bounded complex-valued functions on the unit circle having uniformly bounded q-variation on the dyadic arcs. We describe a broad class ℐ of UMD spaces such that whenever X ∈ ℐ, the sequence space ℓ²(ℤ,X) admits the classes as Fourier multipliers, for an appropriate range of values of q > 1 (the range of q depending on X). This multiplier result expands the vector-valued Marcinkiewicz Multiplier Theorem in the direction q >...
An matrix of linear functionals of -algebras.
An operator characterization of -spaces in a class of Orlicz spaces
We consider an embedding of the group of invertible transformations of [0,1] into the algebra of bounded linear operators on an Orlicz space. We show that if this embedding preserves the group action then the Orlicz space is an -space for some 1 ≤ p < ∞.
An Operator Characterization of Vector Measures which Have Radon-Nikodym Derivatives.
An Operator Ideal in Connection with Gaussian Measures and Applications to Nuclearity of Integral Operators.
An operator inequality.
An Operator Inequality.
An operator on a separable Hilbert space with all polynomials hypercyclic
An operator on a separable Hilbert space with many hypercyclic vectors
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise
An operator-theoretic approach to theorems of the Pick-Nevanlinna and carathéodory types.
An operator-theoretic approach to truncated moment problems
We survey recent developments in operator theory and moment problems, beginning with the study of quadratic hyponormality for unilateral weighted shifts, its connections with truncated Hamburger, Stieltjes, Hausdorff and Toeplitz moment problems, and the subsequent proof that polynomially hyponormal operators need not be subnormal. We present a general elementary approach to truncated moment problems in one or several real or complex variables, based on matrix positivity and extension. Together...