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math.FA2021★ 1 cited
An operator model in the annulus
Glenier Bello, Dmitry Yakubovich
For an invertible linear operator on a Hilbert space , put \[ α(T^*,T) := -T^{*2}T^2 + (1+r^2) T^* T - r^2 I, \] where stands for the identity operator on and $r\in…
math.FA2021
Lorentz spaces and embeddings induced by almost greedy bases in superreflexive Banach spaces
José L. Ansorena, Glenier Bello, Przemysław Wojtaszczyk
The aim of this paper is to show that almost greedy bases induce tighter embeddings in superreflexive Banach spaces than in general Banach spaces. More specifically, we show that a…
math.FA2021
Toward an optimal theory of integration for quasi-Banach-space-valued functions
José L. Ansorena, Glenier Bello
We present a new approach to define a suitable integral for functions with values in quasi-Banach spaces. The integrals of Bochner and Riemann have deficiencies in the non-locally…