Banach algebra

(redirected from Commutative Banach algebra)

Banach algebra

[′bä‚näk ′al·jə·brə]
(mathematics)
An algebra which is a Banach space satisfying the property that for every pair of vectors, the norm of the product of those vectors does not exceed the product of their norms.

Banach algebra

(mathematics)
An algebra in which the vector space is a Banach space.
References in periodicals archive ?
R]) with the pointwise multiplication becomes a commutative Banach algebra.
The set M(A) of all multipliers of A is a unital commutative Banach algebra, called the multiplier algebra of A.
becomes a commutative Banach algebra with the constant function 1 as the identity.
Let A be a commutative Banach algebra without order.
B]) be an abstract Segai algebra with respect to the commutative Banach algebra (A, [parallel] x [[parallel].
The converse holds, whenever A is either unital or a commutative Banach algebra.
Since SA(G) is a commutative Banach algebra, Lemma 3.
are considered in when T is a power bounded operator on a commutative Banach algebra [?
ii) A commutative Banach algebra is n-weakly amenable if and only if it is approximately n-weakly amenable.
A])) shows that the Gelfand transform establishes a connection between the abstract commutative Banach algebra A and the concrete commutative [C.
Rota-Baxter operators appeared in the work of Baxter [3] on differential operators on commutative Banach algebras, being particularly useful in relation to the Spitzer identity.
In this case every commutative Gelfand-Mazur algebra A is homomorphic/isomorphic with a subalgebra of C(homA), similarly to the case of commutative Banach algebras.