Results 1 to 10 of about 335 (131)

Atomic Effect Algebras with the Riesz Decomposition Property [PDF]

Foundations of Physics, 2012
We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any $σ$-orthocomplete atomic effect algebra with the Riesz Decomposition Property is an MV-effect algebras, and we apply this result for pseudo-effect algebras and for states.
Anatolij Dvurečenskij, Yongjian Xie, Dvurečenskij Anatolij   +2 more
exaly   +4 more sources

Riesz decomposition properties and the lexicographic product of po-groups [PDF]

Soft Computing, 2015
We establish conditions when a certain type of the Riesz Decomposition Property (RDP) holds in the lexicographic product of two po-groups. It is well known that the resulting product is an $\ell$-group if and only if the first one is linearly ordered and the second one is an $\ell$-group.
Anatolij Dvurečenskij, Dvurečenskij Anatolij   +1 more
exaly   +4 more sources

Evans potentials and the Riesz decomposition

Hiroshima Mathematical Journal, 2008
This paper is concerned with Riesz-type decomposition for superharmonic functions in parabolic manifolds. The main result of the paper provides a necessary and sufficient condition for such a decomposition in terms of the spherical mean induced by the Evans kernels.
Mitsuru Nakai
exaly   +3 more sources

The Riesz Decomposition of Set-Valued Superpramart

Journal of Applied Mathematics and Physics, 2016
The paper proves the convergence theorem of set-valued Superpramart in the sense of weak convergence under the X* separable condition. Using support function and results about real-valued Superpramart, we give the Riesz decomposition of set-valued Superpramart.
Shuyuan Li, Gaoming Li, Hang Dong, Caoshan Wang   +3 more
exaly   +3 more sources

A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces

Quaestiones Mathematicae
We give a Hahn-Jordan decomposition in Riesz spaces which generalizes that of [{{\sc B. A. Watson}, {An Andô-Douglas type theorem in Riesz spaces with a conditional expectation,} {\em Positivity,} {\bf 13} (2009), 543 - 558}] and a Riesz-Frechet representation theorem for the $T$-strong dual, where $T$ is a Riesz space conditional expectation operator.
Anke Kalauch, Bruce A Watson
exaly   +4 more sources

Riesz decompositions for Schrödinger operators on graphs [PDF]

Journal of Mathematical Analysis and Applications, 2021
We study superharmonic functions for Schrödinger operators on general weighted graphs. Specifically, we prove two decompositions which both go under the name Riesz decomposition in the literature. The first one decomposes a superharmonic function into a harmonic and a potential part.
Fischer, Florian (Dr.), Keller, Matthias (Prof. Dr.)   +1 more
openaire   +4 more sources

Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces

International Journal of Differential Equations, 2023
The boundedness of Bessel–Riesz operators defined on Lebesgue spaces and Morrey spaces in measure metric spaces is discussed in this research study. The maximal operator and traditional dyadic decomposition are used to study the Bessel-Riesz operators ...
Saba Mehmood, null Eridani, null Fatmawati, Wasim Raza   +3 more
doaj   +1 more source

Computable Jordan Decomposition of Linear Continuous Functionals on $C[0;1]$ [PDF]

Logical Methods in Computer Science, 2014
By the Riesz representation theorem using the Riemann-Stieltjes integral, linear continuous functionals on the set of continuous functions from the unit interval into the reals can either be characterized by functions of bounded variation from the unit ...
Klaus Weihrauch, Tahereh Jafarikhah
doaj   +1 more source

The basis property of eigenfunctions in the problem of a nonhomogeneous damped string [PDF]

Opuscula Mathematica, 2017
The equation which describes the small vibrations of a nonhomogeneous damped string can be rewritten as an abstract Cauchy problem for the densely defined closed operator \(i A\).
Łukasz Rzepnicki
doaj   +1 more source

Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group

Journal of Function Spaces, 2020
In this paper, we apply De Giorgi-Moser iteration to establish the Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group by using the Riesz potential, maximal function, Calderón-Zygmund decomposition, and covering ...
Junli Zhang, Pengcheng Niu
doaj   +1 more source