Results 41 to 50 of about 3,845,232 (225)

More on the extension of linear operators on Riesz spaces

Karpatsʹkì Matematičnì Publìkacìï, 2022
The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$.
O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
doaj   +1 more source

Bernoulli Processes in Riesz Spaces [PDF]

, 2016
The action and averaging properties of conditional expectation operators are studied in the, measure-free, Riesz space, setting of Kuo, Labuschagne and Watson [{Conditional expectations on Riesz spaces}, J. Math. Anal. Appl., 303 (2005), 509-521] but on the abstract $L^2$ space, ${\cal L}^2(T)$ introduced by Labuschagne and Watson [{ Discrete ...
Kuo, Wen-Chi, Vardy, Jessica Joy, Watson, Bruce Alastair   +2 more
openaire   +2 more sources

Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain [PDF]

, 2012
Generalized fractional partial differential equations have now found wide application for describing important physical phenomena, such as subdiffusive and superdiffusive processes.
Jiang, H., Turner, I., Burrage, K., Liu, F.   +3 more
core   +2 more sources

A novel finite volume method for the Riesz space distributed-order advection–diffusion equation [PDF]

, 2017
In this paper, we investigate the finite volume method (FVM) for a distributed-order space-fractional advection–diffusion (AD) equation. The mid-point quadrature rule is used to approximate the distributed-order equation by a multi-term fractional model.
J. Li, Feng, L., Turner, I., Li, J., L. Feng, F. Liu, I. Turner, Liu, F.   +7 more
core   +1 more source

Elliptic Riesz operators on the weighted special atom spaces

International Journal of Mathematics and Mathematical Sciences, 1996
In this paper we study the boundedness and convergence of σrs(f) and σ˜rs(f), the elliptic Riesz operators and the conjugate elliptic Riesz operators of order s>0, on the weighted special atom space B(ω).
Kuang Jichang
doaj   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Amenability Constants for Unconditional Sums of Banach Algebras

Mathematische Nachrichten, Volume 299, Issue 9, Page 2472-2494, September 2026.
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley   +1 more source

2-Universally complete Riesz spaces and inverse-closed Riesz spaces

Indagationes Mathematicae, 2006
Let \(X\) be a nonempty set. The first result of the authors is about uniformly closed Riesz subspaces of \(\mathbb{R}^X\) containing the constant functions. Theorem. Let \(E\) be a Riesz subspace of \(\mathbb{R}^X\) which is uniformly closed and contains the constants.
Montalvo, F., Pulgarín, A., Requejo, B.
openaire   +2 more sources

A Semi‐Discrete Lagrangian‐Eulerian Numerical Scheme for Diffusive‐Dispersive Conservation Laws With Discontinuous Coefficient

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu, Wanderson Lambert, Erivaldo Lima   +2 more
wiley   +1 more source

Geometry of essential matrix ranges and the Smith–Ward problem for operator systems

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick, Chi‐Kwong Li, Sushil Singla   +2 more
wiley   +1 more source