LpSpaces in vector lattices and applications

DOI10.1515/MS-2017-0060zbMath1505.28018arXiv1604.07570OpenAlexW2461430621MaRDI QIDQ4599378

Anna Rita Sambucini, Antonio Boccuto, Domenico Candeloro

Publication date: 2 January 2018

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07570

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Approximation by operators (in particular, by integral operators) (41A35) Set functions, measures and integrals with values in ordered spaces (28B15)

Related Items (13)

Set-valued Brownian motion ⋮ Approximation theorems for a family of multivariate neural network operators in Orlicz-type spaces ⋮ Some applications of modular convergence in vector lattice setting ⋮ A new concept of multidimensional variation in the sense of Riesz and applications to integral operators ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ Life and work of Domenico Candeloro: an appreciation ⋮ States on wEMV-algebras ⋮ Estimates for the neural network operators of the max-product type with continuous and \(p\)-integrable functions ⋮ Approximation results in Orlicz spaces for sequences of Kantorovich MAX-product neural network operators ⋮ Equivalence between limit theorems for lattice group-valued \(k\)-triangular set functions ⋮ Filter exhaustiveness and filter limit theorems for \(k\)-triangular lattice group-valued set functions ⋮ The Hájek-Rényi-Chow maximal inequality and a strong law of large numbers in Riesz spaces ⋮ Abstract integration with respect to measures and applications to modular convergence in vector lattice setting

Cites Work

• The foundations of fractional calculus in the Mellin transform setting with applications
• Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces
• Addendum to: ``Comparison between different types of abstract integrals in Riesz spaces
• Modular filter convergence theorems for Urysohn integral operators and applications
• Approximation with Respect to Goffman–Serrin Variation by Means of Non-Convolution Type Integral Operators
• Mathematical Foundations of Signal Processing
• A Simple Proof of the Holder and the Minkowski Inequality
• Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
• Modular filter convergence theorems for abstract sampling type operators

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