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Approximation by partial isometries and symmetric approximation of finite frames
(Birkhauser Boston Inc, 2018-08)
We solve the problem of best approximation by partial isometries of given rank to an arbitrary rectangular matrix, when the distance is measured in any unitarily invariant norm. In the case where the norm is strictly convex, ...
Local Bishop–Phelps–Bollobás properties
(Academic Press Inc Elsevier Science, 2018-08)
In this paper we introduce some local versions of Bishop–Phelps–Bollobás type property for operators. That is, the function η which appears in their definitions depends not only on a given ε > 0, but also on either a fixed ...
Alf Ross’ two approaches to legal competenceLos enfoques sobre la competencia de Alf Ross
(Universidad Austral de Chile, Facultad de Ciencias Jurídicas y Sociales., 2018)
Optimal subspaces in normed spaces
(Universidad de Sofía, 2010-01)
In this paper, we prove existence of optimal subspaces in a normed space. We give properties of diameters of a subspace, and properties of optimal subspaces and of its deviations. Characterization and uniqueness of optimal ...
Norm convergence of nilpotent ergodic averages
(Annal Mathematics, 2012-05)
We show that multiple polynomial ergodic averages arising from nilpo-tent groups of measure preserving transformations of a probability space always converge in the L 2 norm.
Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces
(IOS Press, 2022)
In this note we prove the validity of the Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz-Sobolev spaces. This complements a previous asymptotic study of the limit as s ↑ 1 performed by the second author in ...
Social Approaches to Intentionality
(Routledge Journals, Taylor & Francis Ltd, 2016)
In this chapter I reconstruct the state of play regarding individualistic, communitarian and social accounts to intentionality and show the motivation and advantages of the latter.
Multipoint Padé approximants as limits of rational functions of best approximation in the complex domain
(Universidad de Jaén, 2018-10)
In this paper we study the behavior of best Lp-approximations by rational functions to an analytic function on union of disks, when the measure of them tends to zero.
The spectrum on p-forms of a lens space
(Springer, 2018-12-06)
We give an explicit description of the spectrum of the Hodge–Laplace operator on p-forms of an arbitrary lens space for any p. We write the two generating functions encoding the p-spectrum as rational functions. As a ...