Results 51 to 60 of about 297,006 (207)
A Note on Evolution Algebras as Banach Algebras
With the objective of considering evolution algebras as Banach algebras, we show in this paper new results on normed evolution algebras obtained after the introduction of an evolution algebras operator, which generalizes the one introduced by Tian. The properties of this operator which let evolution algebras be endowed with a Banach space structure are
González López, Rafael +1 more
openaire +3 more sources
Spectral synthesis and topologies on ideal spaces for Banach *-algebras [PDF]
This paper continues the study of spectral synthesis and the topologies τ∞ and τr on the ideal space of a Banach algebra, concentrating on the class of Banach *-algebras, and in particular on L1-group algebras.
Somerset, D.W.B. +2 more
core +1 more source
A zero–one law for the spectral gap property of pairs in SU(2)$\mathrm{SU}(2)$
Abstract For n⩾2$n \geqslant 2$, Gamburd, Jakobson, and Sarnak [J. Eur. Math. Soc. 1 (1999), 51–85] conjectured that almost every n$n$‐tuple in SU(2)$\mathrm{SU}(2)$ has a spectral gap. Toward this conjecture, Fisher [Int. Math. Res. Not. (2006), Art. ID 26028] established a zero–one law for n⩾3$n \geqslant 3$, but obtained only a partial result for n ...
Oleg Pikhurko, Kohki Sakamoto
wiley +1 more source
A Banach Algebra Similar to Cameron-Storvick’s One with Its Equivalent Spaces
Let C[0,T] denote an analogue of a generalized Wiener space, that is, the space of continuous, real-valued functions on the interval [0,T]. In this paper, we introduce a Banach algebra on C[0,T] which generalizes Cameron-Storvick’s one, the space of ...
Dong Hyun Cho
doaj +1 more source
Geometric spectral properties of electromagnetic waveguides
Abstract We consider a homogeneous, isotropic electromagnetic waveguide with simply connected cross‐section embedded in a perfect conductor. We investigate the influence of geometric deformations, namely bending and twisting, on the real spectrum of the associated self‐adjoint Maxwell operator. We first establish sufficient conditions on the asymptotic
Philippe Briet +3 more
wiley +1 more source
Higher Ring Derivation and Intuitionistic Fuzzy Stability
We take account of the stability of higher ring derivation in intuitionistic fuzzy Banach algebra associated to the Jensen type functional equation. In addition, we deal with the superstability of higher ring derivation in intuitionistic fuzzy Banach ...
Ick-Soon Chang
doaj +1 more source
Spectral Properties and Stability in Vector-Valued Lipschitz Algebras [PDF]
Let $A$ be a commutative Banach algebra and $(K,d)$ be a compact metric space. In this paper, we examine various spectral properties, including the unique uniform norm property, weak regularity, Ditkin's condition and local operators, within the context
Hossein Aboubakri +2 more
doaj +1 more source
On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
In the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra.
Jerolina Fernandez +4 more
doaj +1 more source
On amalgamated Banach algebras [PDF]
To appear in Periodica Mathematica ...
Hasan Pourmahmood Aghababa +1 more
openaire +3 more sources
Self‐consistent transfer operators for heterogeneous coupled maps
Abstract We investigate the dynamics of large heterogeneous network dynamical systems composed of nonlocally coupled chaotic maps. We show that the mean‐field limit of such systems is governed by a suitably defined Self‐consistent Transfer Operator (STO) acting on measures, describing the infinite‐size limits of dense graphs as graphons, thereby ...
Herbert M. C. Maquera +2 more
wiley +1 more source

