The adjoint of a positive semigroup
The application of fixed point theorems to global nonlinear controllability problems.
The boundary spectrum of linear operators in finite-dimensional spaces
The Cauchy problem for an inclusion in Banach spaces and distribution spaces.
The center of an algebra of operators
The Cesàro and related operators, a survey
We provide a survey of properties of the Cesàro operator on Hardy and weighted Bergman spaces, along with its connections to semigroups of weighted composition operators. We also describe recent developments regarding Cesàro-like operators and indicate some open questions and directions of future research.
The classical field limit of non-relativistic bosons. II. Asymptotic expansions for general potentials
The Clifford algebra and the Spinor group of a Hilbert space
The Dirichlet-Neumann operator on continuous functions
The domain of the Ornstein-Uhlenbeck operator on an -space with invariant measure
We show that the domain of the Ornstein-Uhlenbeck operator on
The embeddability of an invertible measure.
The formal Laplace--Borel transform of Fliess operators and the composition product.
The fundamental solutions for fractional evolution equations of parabolic type.
The generalized Cauchy equation for operator-valued functions.
The generalized Cauchy equation for operator-valued functions. (Short Communication).
The group of L²-isometries on H¹₀
Let Ω be an open subset of ℝⁿ. Let L² = L²(Ω,dx) and H¹₀ = H¹₀(Ω) be the standard Lebesgue and Sobolev spaces of complex-valued functions. The aim of this paper is to study the group of invertible operators on H¹₀ which preserve the L²-inner product. When Ω is bounded and ∂Ω is smooth, this group acts as the intertwiner of the H¹₀ solutions of the non-homogeneous Helmholtz equation u - Δu = f, . We show that is a real Banach-Lie group, whose Lie algebra is (i times) the space of symmetrizable operators....
The Hadamard product and related dilations
The Hardy-Landau-Littlewood inequalities with less smoothness.
The Harmonic Functions of Mean Ergodic Markov Semigroups.
The H-theorem for Boltzmann type equations.