Variational principle for quasi-local algebras over the lattice
Variational problems on classes of rearrangements and multiple configurations for steady vortices
Variational semi-regularity and norm convergence.
Variations on a theme of Beurling.
Variations on a theme of Carathéodory
Variations on the Banach-Stone theorem.
Variations on Yano's extrapolation theorem.
We give very short and transparent proofs of extrapolation theorems of Yano type in the framework of Lorentz spaces. The decomposition technique developed in Edmunds-Krbec (2000) enables us to obtain known and new results in a unified manner.
Various kinds of sensitive singular perturbations
We consider variational problems of P. D. E. depending on a small parameter when the limit process implies vanishing of the higher order terms. The perturbation problem is said to be sensitive when the energy space of the limit problem is out of the distribution space, so that the limit problem is out of classical theory of P. D. E. We present here a review of the subject, including abstract convergence theorems and two very different model problems (the second one is presented for the first...
Vector Daniell integrals
Vector integration and the Grothendieck inequality
We relate the Grothendieck inequality to the theory of vector measures and show that the integral of an inner product with respect to a bimeasure can be computed in an iterative way. We then show an application to the theory of bounded linear operators.
Vector Lattice Measures on Locally Compact Spaces.
Vector measures and nuclearity
Vector Measures, c₀, and (sb) Operators
Emmanuele showed that if Σ is a σ-algebra of sets, X is a Banach space, and μ: Σ → X is countably additive with finite variation, then μ(Σ) is a Dunford-Pettis set. An extension of this theorem to the setting of bounded and finitely additive vector measures is established. A new characterization of strongly bounded operators on abstract continuous function spaces is given. This characterization motivates the study of the set of (sb) operators. This class of maps is used to extend results of P. Saab...
Vector measures on the closed subspaces of a Hilbert space
Vector series whose lacunary subseries converge
The area of research of this paper goes back to a 1930 result of H. Auerbach showing that a scalar series is (absolutely) convergent if all its zero-density subseries converge. A series in a topological vector space X is called ℒ-convergent if each of its lacunary subseries (i.e. those with ) converges. The space X is said to have the Lacunary Convergence Property, or LCP, if every ℒ-convergent series in X is convergent; in fact, it is then subseries convergent. The Zero-Density Convergence...
Vector space isomorphisms of C*-algebras
Vector spaces over function fields. Vector spaces over analytic function fields being associated to ordinary differential equations.
Vector Topologies and Linear Maps on Products of Topological Vector Spaces.
Vector valued inequalities for strongly singular Calderón-Zygmund operators.
In this article we consider a theory of vector valued strongly singular operators. Our results include Lp, Hp and BMO continuity results. Moreover, as is well known, vector valued estimates are closely related to weighted norm inequalities. These results are developed in the first four sections of our paper. In section 5 we use our vector valued singular integrals to estimate the corresponding maximal operators. Finally in section 6 we discuss applications to weighted norm inequalities for pseudo-differential...
Vector valued Loeb measures and the Lewis integral.