The Secant Method and Fixed Points of Nonlinear Operators.
The second dual spaces of the sets of -strongly convergent and bounded sequences.
The Second Half-With a Quarter of a Century Delay
We show how results by Diekmann et al. (2007) on the qualitative behaviour of solutions of delay equations apply directly to a resource-consumer model with age-structured consumer population.
The semigroup of Fredholm operators.
The semilinear Feng and FMV spectra.
The set of automorphisms of B(H) is topologically reflexive in B(B(H))
The aim of this paper is to prove the statement announced in the title which can be reformulated in the following way. Let H be a separable infinite-dimensional Hilbert space and let Φ: B(H) → B(H) be a continuous linear mapping with the property that for every A ∈ B(H) there exists a sequence of automorphisms of B(H) (depending on A) such that . Then Φ is an automorphism. Moreover, a similar statement holds for the set of all surjective isometries of B(H).
The sets of fixed points of families of affine continuous mappings
The short-range expansion in solid state physics
The shrinking projection method for common solutions of generalized mixed equilibrium problems and fixed point problems for strictly pseudocontractive mappings.
The shrinking projection method for solving variational inequality problems and fixed point problems in Banach spaces.
The simultaneous nonlinear inequalities problem and applications.
The single-point spectrum operators satisfying Ritt's resolvent condition
It is shown that an operator with the properties mentioned in the title does exist in the space , 1 ≤ p ≤ ∞. The maximal sector for the extended resolvent condition can be prescribed a priori jointly with the corresponding order of the exponential growth of the resolvent in the complementary sector.
The single-valued extension property and subharmonicity.
The single-valued extension property for sums and products of commuting operators
It is shown that the sum and the product of two commuting Banach space operators with Dunford’s property have the single-valued extension property.
The singular sequence problem
The Singularity Expansion Method applied to the transient motions of a floating elastic plate
In this paper we propose an original approach for the simulation of the time-dependent response of a floating elastic plate using the so-called Singularity Expansion Method. This method consists in computing an asymptotic behaviour for large time obtained by means of the Laplace transform by using the analytic continuation of the resolvent of the problem. This leads to represent the solution as the sum of a discrete superposition of exponentially damped oscillating motions associated to the poles...
The Słodkowski spectra and higher Shilov boundaries
We investigate relations between the spectra defined by Słodkowski [14] and higher Shilov boundaries of the Taylor spectrum. The results generalize the well-known relation between the approximate point spectrum and the usual Shilov boundary.
The Sobolev-Besov imbedding theorem from the viewpoint of semi-groups of operators
The Sobolev-Il'in theorem for the -Riesz potential.
The solution by iteration of a composed K-positive definite operator equation in a Banach space.