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math.FA2021
Note on the Kato property of sectorial forms
Ralph Chill, Sebastian Krol
We characterise the Kato property of a sectorial form , defined on a Hilbert space , with respect to a larger Hilbert space in terms of two bounded, selfadjoin…
math.FA2019
Atomic operators in vector lattices
Ralph Chill, Marat Pliev
In this paper we introduce a new class of operators on vector lattices. We say that a linear or nonlinear operator from a vector lattice to a vector lattice is atomic i…
math.FA2018
Interpolation of nonlinear positive or order preserving operators on Banach lattices
Ralph Chill, Alberto Fiorenza, Sebastian Krol
We study the relationship between exact interpolation spaces for positive, linear operators, for order preserving, Lipschitz continuous operators, and for positive Gagliardo-Peetre…