搜索结果: 1-12 共查到“数学 Banach algebras”相关记录12条 . 查询时间(0.093 秒)
We give a brief overview of the area of Banach algebras, intended for a general mathematical audience.
Solvability of the $H^\infty$ algebraic Riccati equation in Banach algebras
Riccati equations Banach algebras Systems over rings H1 control Spatially distributed dynamical systems
2011/9/21
Abstract: Let $R$ be a commutative complex unital semisimple Banach algebra with the involution $\cdot ^\star$. Sufficient conditions are given for the existence of a stabilizing solution to the $H^\i...
Perturbations of Banach algebras and amenability
Perturbations of Banach algebras amenability
2011/1/19
In this paper we prove that if (A, π) is an amenable Banach algebra and if ρ is another Banach algebra multiplication on A such that kρ−πk < 1 11 , then (A, ρ) is also amenable.
Arens regularity of module actions and weak amenability of Banach algebras
Arens regularity weak amenability of Banach algebras
2010/11/9
For Banach left and right module actions, we will establish the relationships between topological centers of module actions with some result in the weak amenability of Banach algebras.
Arens Regularity of Tensor Products and Weak Amenability of Banach Algebras
Arens Regularity of Tensor Products Weak Amenability of Banach Algebras
2010/11/9
In this note, we study the Arens regularity of projective tensor product $A\hat{\otimes}B$ whenever $A$ and $B$ are Arens regular. We establish some new conditions for showing that the Banach algebra...
A perturbation of m-order derivations on Banach algebras
m-order derivation approximate m-order derivation stability
2010/2/25
Let \A be a unital Banach algebra and let m, 1 \leq m \leq 4, be an integer. If f: \A \to \A is an approximate m-order derivation in the sense of Hyers-Ulam-Rassias, then f: \A \to \A is an exact m-or...
A Note on Commutative Banach Algebras
Commutative Banach algebra Norm Similarity transformation Spectral radius
2008/7/3
A Note on Commutative Banach Algebras.
Extreme Points of Certain Subsets of Hermitian Elements in Banach Algebras
Extreme points hermitian elements
2010/2/26
We consider the real Banach spaces H(A) of all hermitian elements of a complex Banach algebra A. We prove that if an even power of a \in N(A) is hermitian, then a is an extreme point of the unit ball ...
Many properties of two-sided algebras remain valid for one-sided algebras. Namely, any one sided Banach algebra is commutative modulo its Jacobson radical.
p -Banach algebras with generalized involution and C*-algebra structure
p-Banach algebras generalized involution involutive anti-morphism C*-algebra
2010/3/1
In this paper, we consider p-Banach algebras endowed with a generalized involution. We show that various C*-like conditions force the algebra to be C*-algebra under an equivalent norm.
A Class of Banach Algebras Whose Duals Have the Schur Property
Schur property Segal algebras almost periodic functionals
2010/3/3
Call a commutative Banach algebra A a g-algebra if it contains a bounded group G such that \overline{aco(G)} contains a multiple of the unit ball of A. In this paper, first by exhibiting several concr...
Criteria of Le page Type in Involutive Banach Algebras
Banach algebra Commutativity C\star-algebra antilinear map Spectral radius Numerical radius
2010/3/3
The Le Page inequality in Banach algebras is \parallel xy \parallel\leqa\parallel yx\parallel. We consider inequalities where a linear involution appears and has consequences on the involution itself ...