Application of sets to some classes of operators
The paper contains some applications of the notion of sets to several classes of operators on Banach lattices. In particular, we introduce and study the class of order -Dunford-Pettis operators, that is, operators from a Banach space into a Banach lattice whose adjoint maps order bounded subsets to an sets. As a sequence characterization of such operators, we see that an operator from a Banach space into a Banach lattice is order -Dunford-Pettis, if and only if for for every weakly null...
Application of Rademacher systems to operator characterizations of Banach lattices
Application of sequential shifts to an interpolation problem.
In the present paper initial operators for a right invertible operator, which are induced by sequential shifts and have the property c(R) are constructed. An application to the Lagrange type interpolation problem is given. Moreover, an example with the Pommiez operator is studied.
Application of vector integration to spectral theory
Applications de radonification des mesures compactologiques d'un espace métrique
Applications -radonifiantes
Applications -sommantes et -radonifiantes
Applications p-radonifiantes et théorème de dualité
Applications radonifiantes dans l'espace des séries convergentes. I. Le théorème de Menchov
Applications sommantes et radonifiantes
Soient , des espaces de Banach , des espaces d’Orlicz, on définit les applications sommantes de dans . On montre que de telles applications sont radonifiantes de dans .On donne une factorisation caractéristique des applications sommantes.
Applications -sommantes
Applying the density theorem for derivations to range inclusion problems
The problem of when derivations (and their powers) have the range in the Jacobson radical is considered. The proofs are based on the density theorem for derivations.
Approximate determination of eigenvalues and eigenvectors of selfadjoint operators
Approximate solutions of equations defined by complex spherical multiplier operators.
Approximately Invariant Subspaces for Unbounded Linear Operators. II.
Approximately partial ternary quadratic derivations on Banach ternary algebras.
Approximation and asymptotics of eigenvalues of unbounded self-adjoint Jacobi matrices acting in l 2 by the use of finite submatrices
We consider the problem of approximation of eigenvalues of a self-adjoint operator J defined by a Jacobi matrix in the Hilbert space l 2(ℕ) by eigenvalues of principal finite submatrices of an infinite Jacobi matrix that defines this operator. We assume the operator J is bounded from below with compact resolvent. In our research we estimate the asymptotics (with n → ∞) of the joint error of approximation for the eigenvalues, numbered from 1 to N; of J by the eigenvalues of the finite submatrix J...
Approximation and entropy numbers of compact Sobolev embeddings
The aim of the paper is twofold. First we give a survey of some recent results concerning the asymptotic behavior of the entropy and approximation numbers of compact Sobolev embeddings. Second we prove new estimates of approximation numbers of embeddings of weighted Besov spaces in the so called limiting case.
Approximation and symbolic calculus for Toeplitz algebras on the Bergman space.