General nonlinear random equations with random multivalued operator in Banach spaces.
General numerical radius inequalities for matrices of operators
General regularizing functionals for solving ill-posed problems in Lebesgue spaces.
General Representation of Pseudoinverses
General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators
This paper is concerned with an extension and reinterpretation of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. We state two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.
General system of -monotone nonlinear variational inclusions problems with applications.
General system of strongly pseudomonotone nonlinear variational inequalities based on projection systems.
General theorems of Mazur-Orlicz type
General viscosity approximation methods for common fixed points of nonexpansive semigroups in Hilbert spaces.
General ways of constructing accelerating Newton-like iterations on partially ordered topological spaces.
Généralisation d'un théorème de Haagerup
Let G be a group of automorphisms of a tree X (with set of vertices S) and H a kernel on S × S invariant under the action of G. We want to give an estimate of the -operator norm (1 ≤ r ≤ 2) of the operator associated to H in terms of a norm for H. This was obtained by U. Haagerup when G is the free group acting simply transitively on a homogeneous tree. Our result is valid when X is a locally finite tree and one of the orbits of G is the set of vertices at even distance from a given vertex; a technical...
Generalisation of Rellich's Theorem on Perturbation of (Essentially) Selfadjoin Operators.
Generalization of formulae of Fredholm type
Generalization of Steffensen's method for operator equations in Banach space
Generalization of the Mercer Theorem
Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators. II
The Newman-Shapiro Isometry Theorem is proved in the case of Segal-Bargmann spaces of entire vector-valued functions (i.e. summable with respect to the Gaussian measure on ℂⁿ). The theorem is applied to find the adjoint of an unbounded Toeplitz operator with φ being an operator-valued exponential polynomial.
Generalization of von Neumann's spectral sets and integral representation of operators
Generalization of Weyl-von Neumann-Berg theorem for the case of normal operator-valued holomorphic functions
Generalizations of Cesàro means and poles of the resolvent
An improvement of the generalization-obtained in a previous article [Bu1] by the author-of the uniform ergodic theorem to poles of arbitrary order is derived. In order to answer two natural questions suggested by this result, two examples are also given. Namely, two bounded linear operators T and A are constructed such that converges uniformly to zero, the sum of the range and the kernel of 1-T being closed, and converges uniformly, the sum of the range of 1-A and the kernel of (1-A)² being...
Generalizations of Kaplansky's Theorem Involving Unbounded Linear Operators
We are mainly concerned with the result of Kaplansky on the composition of two normal operators in the case in which at least one of the operators is unbounded.