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The Class of Demi-Order Norm Continuous Operators

open access: yesGazi University Journal of Science, 2023
In this paper, we introduce the class of demi-order norm continuous operator on a normed Riesz space. We study the relationship between order-to-norm continuous operator and demi-order norm continuous operator. We also investigate some properties of the class of demi-order norm continuous operator, and it is given a characterization of a normed Riesz ...
Gul Sinem Keles, Birol Altin
exaly   +4 more sources
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Operator Norm Limits of Order Continuous Operators

Positivity, 2005
Let \(X\) and \(Y\) be Banach lattices, and denote by \({\mathcal L}^b(X, Y)\) the space of order bounded linear operators from \(X\) into \(Y\) equipped with the order bound norm, a norm introduced by the second author [in: Functional analysis and economic theory, Samos, Greece, July 1996, 109--118 (1998; Zbl 0912.47018)]. Moreover, let \({\mathcal L}^
Arkady K. Kitover, A W Wickstead
exaly   +3 more sources

A characterization of the ordering of continuous t-norms

Fuzzy Sets and Systems, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erich-Peter Klement   +2 more
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On Order Isomorphisms of Norm Attainment Sets of Continuous Functions

open access: yesActa Mathematica Hungarica
Abstract We provide a method for reconstructing the underlying locally compact Hausdorff space of an algebra of continuous functions vanishing at infinity, using the norm attainment sets of continuous functions. As an application, it is demonstrated that an order isomorphism of norm attainment sets between spaces of continuous functions ...
Igarashi, K.   +3 more
exaly   +2 more sources

Order Continuous Probabilistic Riesz Norms

Vietnam Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Unbounded $σ$-order-to-norm continuous and $un$-continuous operators

2019
An operator $T $ from a vector lattice $E$ into a normed lattice $F$ is called unbounded $σ$-order-to-norm continuous whenever $x_{n}\xrightarrow{uo}0$ implies $\| Tx_{n}\|\rightarrow 0$, for each sequence $(x_{n})_n\subseteq E$. For a net $(x_α)_α\subseteq E$, if $x_α\xrightarrow{un}0$ implies $Tx_α\xrightarrow{un}0$, then $T$ is called an unbounded ...
Matin, Mina   +2 more
openaire   +1 more source

Optimal Design of Continuous Time Irrational Filter With a Set of Fractional Order Gammatone Components via Norm Relaxed Sequential Quadratic Programming Approach

Digital Signal Processing, 2017
Abstract This paper proposes a continuous time irrational filter structure via a set of the fractional order Gammatone components instead of via a set of integer order Gammatone components. The filter design problem is formulated as a nonsmooth and nonconvex infinite constrained optimization problem. The nonsmooth function is approximated by a smooth
Bingo Wing-Kuen Ling
exaly   +3 more sources

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