A Criterion for an Operator with Real Spectrum to Be of Scalar-type.
A criterion for compositions of (p,q)-absolutely summing operators to be compact
A criterion for discrete spectra of partial differential operators
A criterium for the strict positivity of the density of the law of a Poisson process.
A decoupling approach to resonances for multiparticle quantum scattering systems
A degree for a class of acyclic-valued vector fields in Banach spaces
A degree theory for a class of perturbed Fredholm maps.
A degree theory for a class of perturbed Fredholm maps. II.
A degree theory for compact perturbations of proper Fredholm mappings of index 0.
A degree theory for locally compact perturbations of Fredholm maps in Banach spaces.
A density theorem about some system
A density theorem for algebra representations on the space (s)
We show that an arbitrary irreducible representation T of a real or complex algebra on the F-space (s), or, more generally, on an arbitrary infinite (topological) product of the field of scalars, is totally irreducible, provided its commutant is trivial. This provides an affirmative solution to a problem of Fell and Doran for representations on these spaces.
A density theorem for F-spaces
A Differential Inequality for the Distance Function in Normed Linear Spaces.
A Differentiation Theorem for Additive Processes.
A Differentiation Theorem in Lp.
A dilation theorem for operators on Banach spaces
A direct approach to the Weiss conjecture for bounded analytic semigroups
We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded -calculus and is based on elementary analysis.
A Dirichlet problem with asymptotically linear and changing sign nonlinearity.
This paper deals with the problem of finding positive solutions to the equation -∆[u] = g(x,u) on a bounded domain 'Omega' with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
A Dirichlet Type Result for Ordinary Differential Operators.