Banach algebra

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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 ?
see [25]) extended the concept of cubic set to subalgebras, ideals and closed ideals of B-algebra with lots of properties investigated.
A B-algebra is an important class of logical algebras introduced by Neggers and Kim [12] and extendedly investigated by several researchers.
A non-empty set X with constant 0 and a binary operation x is called to be B-algebra [12] if it satisfies the following axioms:
A non-empty subset S of B-algebra X is called a subalgebra [1] of X if x x y [member of] S [for all] x, y [member of] S.
25] defined the cubic subalgebras of B-algebra by combining the definitions of subalgebra over crisp set and the cubic sets.
Let X denote a B-algebra then the concept of cubic subalgebra can be extended to neutrosophic cubic subalgebra.
5]} be a B-algebra with the following Cayley table.
Proof: Let X be a B-algebra and x, y [member of] X.
T,I,F]) in the B-algebra X is said to have rsup-property and inf-property if for any subset S of X, there exist [s.
4 suppose f | X [right arrow] Y be a homomorphism from a B-algebra X onto a B-algebra Y.
5 Assume that f | X [right arrow] Y is a homomorphism of B-algebra and [A.
7 Let f be an isomorphism from a B-algebra X onto a B-algebra Y.