An approximation procedure for fixed points of strongly Lipschitz operators.
An approximation property with respect to an operator ideal
Given an operator ideal , we say that a Banach space X has the approximation property with respect to if T belongs to for every Banach space Y and every T ∈ (Y,X), being the topology of uniform convergence on compact sets. We present several characterizations of this type of approximation property. It is shown that some of the existing approximation properties in the literature may be included in this setting.
An approximation theorem for semigroups of operators
An approximative solution of the generalized eigenvalue problem
An Atkinson-type theorem for B-Fredholm operators
Let X be a Banach space and let T be a bounded linear operator acting on X. Atkinson's well known theorem says that T is a Fredholm operator if and only if its projection in the algebra L(X)/F₀(X) is invertible, where F₀(X) is the ideal of finite rank operators in the algebra L(X) of bounded linear operators acting on X. In the main result of this paper we establish an Atkinson-type theorem for B-Fredholm operators. More precisely we prove that T is a B-Fredholm operator if and only if its projection...
An averaging principle for stochastic evolution equations. II.
In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.
An axiomatic approach to joint spectra I
An continuation results for Fredholm integral equations on locally convex spaces.
An eigenvalue problem for elliptic systems.
An elementary construction on nonlinear coherent states associated to generalized Bargmann spaces.
An Elementary Lemma on Sequences of Integers and Its Apllications to Functional Analysis.
An elementary proof of a theorem on sublattices of finite codimension
This paper presents an elementary proof and a generalization of a theorem due to Abramovich and Lipecki, concerning the nonexistence of closed linear sublattices of finite codimension in nonatomic locally solid linear lattices with the Lebesgue property.
An elliptic equation with no monotonicity condition on the nonlinearity
An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven via variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was obtained using a simple application of topological (Brouwer) degree. Here, a more subtle degree...
An Elliptic Neumann Problem with Subcritical Nonlinearity
We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.
An embedding of the algebra of order bounded operators on a Dedekind complete Banach lattice.
An End Point Estimate for Maximal Commutators.
An equational approach to products of relatively regular operators.
An Error Analysis for the Secant Method.
An essay on the Interpolation Theorem of Józef Marcinkiewicz - Polish patriot
An estimate of the essential norm of a composition operator from to in the unit ball.