Results 31 to 40 of about 3,845,232 (225)

Generalized Riesz Representation Theorem in n-Hilbert space [PDF]

open access: yes, 2022
In respect of b-linear functional, Riesz representation theorem in n-Hilbert space have been proved. We define b-sesquilinear functional in n-Hilbert space and establish the polarization identities.
Samanta, T. K., Ghosh, Prasenjit
core   +1 more source

Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains [PDF]

open access: yes, 2017
In this paper, we consider two-dimensional Riesz space fractional diffusion equations with nonlinear source term on convex domains. Applying Galerkin finite element method in space and backward difference method in time, we present a fully discrete ...
Yang, Z.   +5 more
core   +1 more source

Probabilistic logics based on Riesz spaces [PDF]

open access: yesLogical Methods in Computer Science, 2020
We introduce a novel real-valued endogenous logic for expressing properties of probabilistic transition systems called Riesz modal logic. The design of the syntax and semantics of this logic is directly inspired by the theory of Riesz spaces, a mature field of mathematics at the intersection of universal algebra and functional analysis.
Furber, Robert   +2 more
openaire   +9 more sources

Statistical Convergence of Double Sequences in Locally Solid Riesz Spaces

open access: yesAbstract and Applied Analysis, 2012
Recently, the notion of statistical convergence is studied in a locally solid Riesz space by Albayrak and Pehlivan (2012). In this paper, we define and study statistical τ-convergence, statistical τ-Cauchy and S∗(τ)-convergence of double sequences in a ...
S. A. Mohiuddine   +2 more
doaj   +1 more source

Construction and Stability of Riesz Bases

open access: yesJournal of Function Spaces, 2018
We construct some new Riesz bases and consider the stability of them. The investigation is based on the stability of Riesz bases of cosines and sines in the Hilbert space L2[0,π].
Yulin Bai   +3 more
doaj   +1 more source

Polynomials on Riesz spaces

open access: yesJournal of Mathematical Analysis and Applications, 2008
The paper is devoted to the study of polynomial mappings on Riesz spaces. All spaces considered are assumed to be Archimedean Riesz spaces. A~\(k\)-linear mapping \(A:E_{1}\times\dots\times E_{k}\rightarrow F\) is called positive if \(A(x_{1},\dots ,x_{k})\geq0\) whenever \(x_{1},\dots ,x_{k}\) lie in the positive cones of \(E_{1},\dots ,E_{k ...
openaire   +2 more sources

Riesz basis property of Timoshenko beams with boundary feedback control

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of
De-Xing Feng   +2 more
doaj   +1 more source

High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation [PDF]

open access: yes, 2015
In this paper, a class of unconditionally stable difference schemes based on the Pad´e approximation is presented for the Riesz space-fractional telegraph equation. Firstly, we introduce a new variable to transform the original dfferential equation to an
Jiang, X., Turner, I., Chen, S., Liu, F.
core   +1 more source

Riesz Basicity for General Systems of Functions

open access: yesJournal of Function Spaces, 2014
In this paper we find the general conditions for a complete biorthogonal conjugate system to form a Riesz basis. We show that if a complete biorthogonal conjugate system is uniformly bounded and its coefficient space is solid, then the system forms a ...
A. M. Sarsenbi, P. A. Terekhin
doaj   +1 more source

A maximal Riesz-Kantorovich theorem with applications to markets with an arbitrary commodity set

open access: yesМатематичні Студії
By analyzing proofs of the classical Riesz-Kantorovich theorem, the Mazón-Segura de León theorem on abstract Uryson operators and the Pliev-Ramdane theorem on C-bounded orthogonally additive operators on Riesz spaces, we find the most general (to our ...
M. M. Popov, O. Z. Ukrainets
doaj   +1 more source

Home - About - Disclaimer - Privacy