Finding minimum norm fixed point of nonexpansive mappings and applications.
Fine scales of decay of operator semigroups
Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus and complex, real and harmonic analysis. It also leads to several results of independent...
Finite difference schemes with monotone operators.
Finite Dimensional Approximation of Nonlinear Problems. Part I. Branches of Nonsingular Solutions.
Finite dimensional subspaces of
Finite dimensionality in socle of Banach algebras.
Finite eigenfunction approximations for continuous spectrum operators.
Finite element approximation for degenerate parabolic equations. An application of nonlinear semigroup theory
Finite element approximation for degenerate parabolic equations is considered. We propose a semidiscrete scheme provided with order-preserving and contraction properties, making use of piecewise linear trial functions and the lumping mass technique. Those properties allow us to apply nonlinear semigroup theory, and the wellposedness and stability in and , respectively, of the scheme are established. Under certain hypotheses on the data, we also derive convergence without any convergence rate....
Finite element approximation for degenerate parabolic equations. an application of nonlinear semigroup theory
Finite element approximation for degenerate parabolic equations is considered. We propose a semidiscrete scheme provided with order-preserving and L1 contraction properties, making use of piecewise linear trial functions and the lumping mass technique. Those properties allow us to apply nonlinear semigroup theory, and the wellposedness and stability in L1 and L∞, respectively, of the scheme are established. Under certain hypotheses on the data, we also derive L1 convergence without any...
Finite Morse index solutions of exponential problems
Finite propagation speed and kernels of strictly elliptic operators.
Finite rank approximation and semidiscreteness for linear operators
Given a completely bounded map from an operator space into a von Neumann algebra (or merely a unital dual algebra) , we define to be -semidiscrete if for any operator algebra , the tensor operator is bounded from into , with norm less than . We investigate this property and characterize it by suitable approximation properties, thus generalizing the Choi-Effros characterization of semidiscrete von Neumann algebras. Our work is an extension of some recent work of Pisier on an analogous...
Finite rank commutators of Toeplitz operators on the bidisk
We study some algebraic properties of commutators of Toeplitz operators on the Hardy space of the bidisk. First, for two symbols where one is arbitrary and the other is (co-)analytic with respect to one fixed variable, we show that there is no nontrivial finite rank commutator. Also, for two symbols with separated variables, we prove that there is no nontrivial finite rank commutator or compact commutator in certain cases.
Finite rank intermediate Hankel operators and the big Hankel operator.
Finite rank operators in Jacobson radical
In this paper we investigate finite rank operators in the Jacobson radical of , where , are nests. Based on the concrete characterizations of rank one operators in and , we obtain that each finite rank operator in can be written as a finite sum of rank one operators in and the weak closure of equals if and only if at least one of , is continuous.
Finite rank, relatively bounded perturbations of semigroups generators
Finite representability and super-ideals of operators [Book]
Finite representability of the Yang operator.
Finite sections of truncated Toeplitz operators
We describe the C*-algebra associated with the finite sections discretization of truncated Toeplitz operators on the model space K2u where u is an infinite Blaschke product. As consequences, we get a stability criterion for the finite sections discretization and results on spectral and pseudospectral approximation.
Finite-dimensional Banach spaces with numerical index zero.