78 citations · 300 across the 55 of their papers we have counts for
7 papers · 2 filters
Nonlinear equations and weighted norm inequalities
Nigel J. Kalton, Igor Emil Verbitsky
We study connections between the problem of the existence of positive solutions for certain nonlinear equations and weighted norm inequalities. In particular, we obtain explicit cr…
Distances between Banach spaces
Nigel J. Kalton, Mikhail I. Ostrovskii
The main object of the paper is to study the distance between Banach spaces introduced by Kadets. For Banach spaces and , the Kadets distance is defined to be the infimum of…
Stability results on interpolation scales of quasi-Banach spaces and applications
Nigel J. Kalton, Marius Mitrea
We investigate stability of Fredholm properties on interpolation scales of quasi-Banach spaces. This analysis is motivated by problems arising in PDE's and several applications are…
Spectral characterization of sums of commutators I
Nigel J. Kalton
Suppose $\Cal J$ is a two-sided quasi-Banach ideal of compact operators on a separable infinite-dimensional Hilbert space $\Cal H$. We show that an operator $T\in\Cal J$ can be exp…
Spectral characterization of sums of commutators II
Kenneth J. Dykema, Nigel J. Kalton
For countably generated ideals, $\Jc$, of $B(\Hil)$, geometric stability is necessary for the canonical spectral characterization of sums of $(\Jc,B(\Hil))$--commutators to hold. T…
Generalizing the Paley-Wiener perturbation theory for Banach spaces
Peter G. Casazza, Nigel J. Kalton
We extend the Paley-Wiener pertubation theory to linear operators mapping a subspace of one Banach space into another Banach space.
A note on pairs of projections
Nigel J. Kalton
We give a brief proof of a recent result of Avron, Seiler and Simon.