commutative banach algebra造句

• Not every unital commutative Banach algebra is of the form for some compact Hausdorff space.
• Alternatively, the continuous calculus can be obtained via the Gelfand transform, in the context of commutative Banach algebras.
• The commutative Banach algebra and Hardy space " H " & infin; consists of the bounded holomorphic functions on the open unit disc " D ".
• As an algebra, a unital commutative Banach algebra is semisimple ( i . e ., its Jacobson radical is zero ) if and only if its Gelfand representation has trivial kernel.
• Appl . article with Turkish authors that is citation number 1 in the article, and Glickfeld, Barnett W ., The theory of analytic functions in commutative Banach algebras with involution.
• As a closed subalgebra of the commutative Banach algebra " C ( X ) " a uniform algebra is itself a unital commutative Banach algebra ( when equipped with the uniform norm ).
• As a closed subalgebra of the commutative Banach algebra " C ( X ) " a uniform algebra is itself a unital commutative Banach algebra ( when equipped with the uniform norm ).
• More generally, by the Gelfand Mazur theorem, the maximal ideals of a unital commutative Banach algebra can be identified with its characters not merely as sets but as topological spaces : the former with the hull-kernel topology and the latter with the w *-topology.