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Decomposition and extension of abstract measures in Riesz spaces
1998This paper is based on some lectures given during the Workshop of Measure Theory and Real Analysis held at Grado in September 1995. The main aim of the paper is to present a common approach to vector measures and linear operators. For that, the author first studies ``minimal clans'', a common abstraction of Boolean rings and \(\ell\)-groups, and then ...
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A Study of Riesz Space-Valued Non-additive Measures
2010This paper gives a short survey of our recent developments in Riesz space-valued non-additive measure theory and contains the following topics: the Egoroff theorem, the Lebesgue theorem, the Riesz theorem, the Lusin theorem, and the Alexandroff theorem.
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Decompositions of Riesz space-valued measures on orthomodular posets
1993The purpose of the paper under review is to present an abstract decomposition theorem for a positive finitely additive function on an orthomodular poset taking its values in a Riesz space. More precisely: let \(L\) be an orthomodular poset, let \((V,\|\cdot\|)\) be a Dedekind complete normed Riesz space with order continuous norm and let \(a(L,V)_ ...
DE LUCIA, PAOLO, A. DVURECENSKIJ
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A note on the generalized Drazin–Riesz invertible operators
Annals of Functional Analysis, 2021Othman Abad +2 more
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Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
Journal of Computational Physics, 2012Cem Çelik, Melda Duman
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Design of digital Riesz fractional order differentiator
Signal Processing, 2014Chien-Cheng Tseng
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Nörlund and Riesz mean of sequences of fuzzy real numbers
Applied Mathematics Letters, 2010Binod Chandra Tripathy
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Topologies on Riesz Groups and Applications to Measure Theory
Proceedings of the London Mathematical Society, 1974openaire +2 more sources