Results 131 to 140 of about 594 (163)

Convergence theorems for measures with values in Riesz spaces.

Kybernetika, 2002
Summary: In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in \(l\)-groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.
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Bessel-Riesz Operators on Lebesgue Spaces with Lebesgue Measures

Malaysian Journal of Mathematical Sciences
This study investigates a class of mathematical operators known as the Bessel-Riesz operators, defined in Euclidean space Rn, given by, Tμ,νf(z) =Z Rn Kμ,ν (|z − w|)f(w)dν(w), for z ∈ Rn. (1) Here, Kμ,ν is called the Bessel-Riesz kernel. It can be expressed as a multiple of the Bessel kernel Jν and the Riesz kernel Kμ.
S. Mehmood, null Eridani, null Fatmawati, W. Raza   +3 more
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Extension and factorization of Riesz n-morphisms on pre-Riesz spaces

Journal of Mathematical Analysis and Applications, 2022
Zalina Kusraeva
exaly  

A Study of Riesz Space-Valued Non-additive Measures

2010
This 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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Decomposition and extension of abstract measures in Riesz spaces

1998
This 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 note on the generalized Drazin–Riesz invertible operators

Annals of Functional Analysis, 2021
Othman Abad, Hassane Zguitti, Zguitti Hassane   +2 more
exaly  

Decompositions of Riesz space-valued measures on orthomodular posets

1993
The 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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On Riesz mean of complex uncertain sequences

Journal of Mathematical Analysis and Applications, 2021
Santanu Roy, Binod Chandra Tripathy, Sangeeta Saha   +2 more
exaly  

General Fractional Calculus in Multi-Dimensional Space: Riesz Form

Mathematics, 2023
Vasily E Tarasov, Tarasov Vasily E
exaly  

On the growth of a subharmonic function with Riesz' measure on a ray

2019
Let \(f\) be a Weierstrass canonical product of noninteger order \(\rho\), assume the zeroes of \(f\) are located on the negative ray, and denote by \(n(r)\) the number of the zeros in the disc \(\{ z : |z| \leq r \}\). It was proved by the second author [On asymptotic properties of entire functions with real negative zeros, Zap. Mat. Otd. Fiz-Mat. Fak.
Gol'dberg, A., Ostrovskii, I.
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