Life and work of Domenico Candeloro: an appreciation

DOI10.1007/s40574-020-00265-2zbMath1455.01020OpenAlexW3096160016MaRDI QIDQ2227246

Patrizia Pucci, Carlo Bardaro, Gianluca Vinti, Anna Rita Sambucini

Publication date: 15 February 2021

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-020-00265-2

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70)

Cites Work

• Gauge integrals and selections of weakly compact valued multifunctions
• Filter convergence and decompositions for vector lattice-valued measures
• Uniform \((s)\)-boundedness and regularity for \((l)\)-group-valued measures
• Dieudonné-type theorems for set functions with values in \((l)\)-groups.
• Differential calculus in Riesz spaces and applications to \(g\)-calculus
• A Fubini theorem in Riesz spaces for the Kurzweil-Henstock integral
• Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions
• An extension of the Birkhoff integrability for multifunctions
• Integral and ideals in Riesz spaces
• Properties of the Riemann-Lebesgue integrability in the non-additive case
• Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures
• Sobczyk-Hammer decompositions and convergence theorems for measures with values in \(l\)-groups
• Abstract generalized Kurzweil-Henstock-type integrals for Riesz space-valued functions
• Approximation theorems for the multiple integral of the calculus of variations
• Geometric properties of the range of two-dimensional quasi-measures with respect to the Radon-Nikodým property
• Integrale di Burkill-Cesari e legami con l'assoluta continuita
• \(\mathbb{R}^ n\)-valued finitely additive measures admitting countably additive restrictions preserving the range
• Set-valued Brownian motion
• Some new results on integration for multifunction
• Stochastic processes and applications to countably additive restrictions of group-valued finitely additive measures
• Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes
• A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability
• Multifunctions determined by integrable functions
• A special class of fuzzy measures: Choquet integral and applications
• Atomicity related to non-additive integrability
• Defining Limits by Means of Integrals
• L^pSpaces in vector lattices and applications
• A multivalued version of the Radon-Nikodym theorem, via the single-valued Gould integral
• Integration of multifunctions with closed convex values in arbitrary Banach spaces
• Comparison between some norm and order gauge integrals in Banach lattices
• Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups
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