Results 61 to 70 of about 877 (187)
On the ideals of extended quasi-nilpotent Banach algebras
Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.
Morteza Seddighin
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On Fully Stable Banach Algebra Modules and Fully Pesudo Stable Banach Algebra Modules
The concept of fully pseudo stable Banach Algebra-module (Banach A-module) which is the generalization of fully stable Banach A-module has been introduced.
Baghdad Science Journal
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Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov
ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon +5 more
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Fixed point characterization of left amenable Lau algebras
The present paper deals with the concept of left amenability for a wide range of Banach algebras known as Lau algebras. It gives a fixed point property characterizing left amenable Lau algebras 𝒜 in terms of left Banach 𝒜-modules.
R. Nasr-Isfahani
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
A Note on Amenability Modulo an Ideal of Unitial Banach Algebras
In this paper we are continuing the study of the concept of amenability modulo an ideal of Banach algebras which is an extension of the usual notion of amenability.
H. R. Rahimi, E. Tahmasebi
doaj
ON DERIVATIONS IN BANACH ALGEBRAS
The authors prove that: (i) The only Jordan derivations \(D\) and \(G\) on a non-commutative \((n+1)!\) torsion free prime ring \(R\) such that \(D(x)x^n-x^nG(x)\) is in the center of \(R\) for all \(x\in R\) are \(D=0\) and \(G=0\); (ii) The only derivation \(D\) on a non-commutative 2-torsion free prime ring \(R\) such that the mapping \(x\rightarrow
Chang, Ick-Soon +2 more
openaire +3 more sources
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
Strictly Cyclic Functionals, Reflexivity, and Hereditary Reflexivity of Operator Algebras
This paper is concerned with strictly cyclic functionals of operator algebras on Banach spaces. It is shown that if X is a reflexive Banach space and A is a norm-closed semisimple abelian subalgebra of B(X) with a strictly cyclic functional f∈X∗, then A ...
Quanyuan Chen, Xiaochun Fang
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Stability of multipliers on Banach algebras
Suppose A is a Banach algebra without order. We show that an approximate multiplier T:A→A is an exact multiplier. We also consider an approximate multiplier T on a Banach algebra which need not be without order.
Takeshi Miura +2 more
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