Results 11 to 20 of about 3,845,232 (225)

The Chebyshev Set Problem in Riesz Space

open access: yesJournal of Function Spaces, 2022
In this paper, we mainly study the best approximation theory in Riesz space, which is not constructed by the norm, but only rely on the order structure.
Shengwei Wu   +4 more
doaj   +2 more sources

Novel Second-Order Accurate Implicit Numerical Methods for the Riesz Space Distributed-Order Advection-Dispersion Equations [PDF]

open access: yesAdvances in Mathematical Physics, 2015
We derive and analyze second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations (RSDO-ADE) in one-dimensional (1D) and two-dimensional (2D) cases, respectively.
X. Wang, F. Liu, X. Chen
doaj   +3 more sources

The space of extended orthomorphisms in a Riesz space [PDF]

open access: yesPacific Journal of Mathematics, 1984
Some properties are discussed of the space \(Orth^{\infty}(L)\) of extended orthomorphisms on an Archimedean Riesz space L. An order bounded linear mapping \(\pi\) from an order dense ideal \(D\subseteq L\) into L is called an extended orthomorphism if \(\inf(| \pi f|,| g|)=0\) whenever \(f\in D\), \(g\in L\) and \(\inf(| f|,| g|)=0.\) The space \(Orth^
DePagter, B.   +3 more
openaire   +6 more sources

The Characterization and Stability of g-Riesz Frames for Super Hilbert Space

open access: yesJournal of Function Spaces, 2015
G-frames and g-Riesz frames as generalized frames in Hilbert spaces have been studied by many authors in recent years. The super Hilbert space has a certain advantage compared with the Hilbert space in the field of studying quantum mechanics.
Dingli Hua, Yongdong Huang
doaj   +2 more sources

ON COMPLETE RIESZ–FISCHER SEQUENCES IN A HILBERT SPACE [PDF]

open access: yesПроблемы анализа
We prove that if {𝑓_𝑛}^\infty_{n=1} is a complete Riesz–Fischer sequence in a separable Hilbert space 𝐻, then 𝑇 :={𝑓 \in 𝐻 : \Sum ...
Elias Zikkos
doaj   +2 more sources

Riesz bases and positive operators on Hilbert space [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
It is shown that a normalized Riesz basis for a Hilbert space H (i.e., the isomorphic image of an orthonormal basis in H) induces in a natural way a new, but equivalent, inner product on H in which it is an orthonormal basis, thereby extending the sense ...
James R. Holub
doaj   +2 more sources

Measurable Riesz spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
We study measurable elements of a Riesz space $E$, i.e. elements $e \in E \setminus \{0\}$ for which the Boolean algebra $\mathfrak{F}_e$ of fragments of $e$ is measurable. In particular, we prove that the set $E_{\rm meas}$ of all measurable elements of
I. Krasikova, M. Pliev, M. Popov
doaj   +1 more source

Ergodicity in Riesz Spaces

open access: yes, 2021
The ergodic theorems of Hopf, Wiener and Birkhoff were extended to the context of Riesz spaces with a weak order unit and conditional expectation operator by Kuo, Labuschagne and Watson in [Ergodic Theory and the Strong Law of Large Numbers on Riesz Spaces. Journal of Mathematical Analysis and Applications, 325,(2007), 422-437.].
Homann, Jonathan   +2 more
openaire   +2 more sources

Positive polynomials on Riesz spaces [PDF]

open access: yesPositivity, 2016
12 ...
Cruickshank, James   +2 more
openaire   +2 more sources

TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT

open access: yesBarekeng, 2011
Hilbert space is a very important idea of the Davids Hilbert invention. In 1907, Riesz and Fréchet developed one of the theorem in Hilbert space called the Riesz-Fréchet representation theorem.
Mozart W. Talakua, Stenly J. Nanuru
doaj   +1 more source

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