42 citations · 118 across the 11 of their papers we have counts for
4 papers · 1 filter
Abstract integration with respect to measures and applications to modular convergence in vector lattice setting
Antonio Boccuto, Anna Rita Sambucini
A "Bochner-type" integral for vector lattice-valued functions with respect to (possibly infinite) vector lattice-valued measures is presented with respect to abstract convergences,…
Gamma-matrices: a new class of simultaneously diagonalizable matrices
Antonio Boccuto, Ivan Gerace, Valentina Giorgetti +1
In order to precondition Toeplitz systems, we present a new class of simultaneously diagonalizable real matrices, the Gamma-matrices, which include both symmetric circulant matrice…
Equivalence between limit theorems for lattice group-valued k-triangular set functions
Antonio Boccuto, Xenofon Dimitriou
We investigate some main properties of lattice group-valued k-triangular set functions and prove some Brooks-Jewett, Nikodym, Vitali-Hahn-Saks and Schur-type theorems and their equ…
Korovkin-type theorems for abstract modular convergence
Antonio Boccuto, Xenofon Dimitriou
We give some Korovkin-type theorems on convergence and estimates of rates of approximations of nets of functions, satisfying suitable axioms, whose particular cases are filter/idea…