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Gelfand transform for a Boehmian space of analytic functions

V. Karunakaran; R. Angeline Chella Rajathi — 2011

Annales Polonici Mathematici

Let $H^{\infty} ()$ denote the usual commutative Banach algebra of bounded analytic functions on the open unit disc of the finite complex plane, under Hadamard product of power series. We construct a Boehmian space which includes the Banach algebra A where A is the commutative Banach algebra with unit containing $H^{\infty} ()$ . The Gelfand transform theory is extended to this setup along with the usual classical properties. The image is also a Boehmian space which includes the Banach algebra C(Δ) of continuous functions on...

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