Displaying similar documents to “Douglas algebras without maximal subalgebra and without minimal superalgebra.”

Boundaries of weak peak points in noncommutative algebras of Lipschitz functions

Kassandra Averill, Ann Johnston, Ryan Northrup, Robert Silversmith, Aaron Luttman (2012)

Open Mathematics

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It has been shown that any Banach algebra satisfying ‖f 2‖ = ‖f‖2 has a representation as an algebra of quaternion-valued continuous functions. Whereas some of the classical theory of algebras of continuous complex-valued functions extends immediately to algebras of quaternion-valued functions, similar work has not been done to analyze how the theory of algebras of complex-valued Lipschitz functions extends to algebras of quaternion-valued Lipschitz functions. Denote by Lip(X, 𝔽 ) the...