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...
An operator-valued stochastic integral, II
An operator-valued stochastic integral, III
An optimal control problem for an elliptic variational inequality
An optimal order yielding discrepancy principle for simplified regularization of ill-posed problems in Hilbert scales.
An optimal symbolic calculus on Besov algebras
An order on subsets of cone metric spaces and fixed points of set-valued contractions.
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations.
An Orlicz-Sobolev space setting for quasilinear elliptic problems.
An oscillation theorem for a second order nonlinear differential equations with variable potential.
An overview of some recent developments on the Invariant Subspace Problem
This paper presents an account of some recent approaches to the Invariant Subspace Problem. It contains a brief historical account of the problem, and some more detailed discussions of specific topics, namely, universal operators, the Bishop operators, and Read’s Banach space counter-example involving a finitely strictly singular operator.
An Ulam stability result on quasi-b-metric-like spaces
In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
An upper bound for the Lipschitz retraction constant in l₁
We construct a new lipschitzian retraction from the closed unit ball of the Banach space l₁ onto its boundary, with Lipschitz constant 8.
An upper bound for the local time-decay of scattering solutions for the Schrödinger equation with Coulomb potential
Analycity of the Semigroup Generated by the Stokes Operator.
Analyse harmonique, analyse complexe et géométrie des espaces de Banach
Analyse harmonique non linéaire
Analyse spectrale des formes automorphes et séries d'Eisenstein.