BSE Properties of Some Banach Function Algebras.

In this paper, BSE properties of some Banach function algebras are studied. We show that Lipschitz algebras Lip_α (X, d) and Dales-Davie algebras D(X, M) are BSE-algebras for certain underlying plane sets X. Moreover, we investigate BSE properties of certain subalgebras of Lip_α(X, d)suchas Lip_A (X, α), Lipⁿ (X, α) and Lip(X, M, α). BSE properties of Bloch type spaces ℬ α and Zygmund type spaces Z_α are also investigated in different cases of α ∈ ℝ. [ABSTRACT FROM AUTHOR]