Almost stable iteration schemes for local strongly pseudocontractive and local strongly accretive operators in real uniformly smooth Banach spaces.
Almost sure approximation of unbounded operators in
The possibilities of almost sure approximation of unbounded operators in by multiples of projections or unitary operators are examined.
Almost sure convergence of iterates of contractions in noncommutative L2-spaces.
Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds
In this paper, we consider elliptic differential operators on compact manifolds with a random perturbation in the 0th order term and show under fairly weak additional assumptions that the large eigenvalues almost surely distribute according to the Weyl law, well-known in the self-adjoint case.
Almost Weakly Compact Operators
Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.
Almost-distribution cosine functions and integrated cosine functions
We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and α-times integrated cosine functions.
Almost-periodic mild solutions to a class of partial functional-differential equations.
alpha-times Integrated Semigroups (alpha in R-)
Alternative characterisations of Lorentz-Karamata spaces
We present new formulae providing equivalent quasi-norms on Lorentz-Karamata spaces. Our results are based on properties of certain averaging operators on the cone of non-negative and non-increasing functions in convenient weighted Lebesgue spaces. We also illustrate connections between our results and mapping properties of such classical operators as the fractional maximal operator and the Riesz potential (and their variants) on the Lorentz-Karamata spaces.
Aluthge transforms of -hyponormal operators.
Ambrosetti-Prodi type results in a system of second and fourth-order ordinary differential equations.
AM-Compactness of some classes of operators
We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.
AMD-numbers, compactness, strict singularity and the essential spectrum of operators.
Amenability and weak amenability of Lipschitz operators algebras.
Amenability properties of Fourier algebras and Fourier-Stieltjes algebras: a survey
Let G be a locally compact group, and let A(G) and B(G) denote its Fourier and Fourier-Stieltjes algebras. These algebras are dual objects of the group and measure algebras, and M(G), in a sense which generalizes the Pontryagin duality theorem on abelian groups. We wish to consider the amenability properties of A(G) and B(G) and compare them to such properties for and M(G). For us, “amenability properties” refers to amenability, weak amenability, and biflatness, as well as some properties which...
A-monotone nonlinear relaxed cocoercive variational inclusions
Based on the notion of A - monotonicity, a new class of nonlinear variational inclusion problems is presented. Since A - monotonicity generalizes H - monotonicity (and in turn, generalizes maximal monotonicity), results thus obtained, are general in nature.
An a posteriori Error Estimation of the Rayleigh-Ritz Eigenvalues.
An Abelian ergodic theorem
An absolute continuity for positive operators on Banach lattices.
An abstract approach to some spectral problems of direct sum differential operators.