The endomorphisms of a Dirichlet algebra

Bruce Stephen Lund

Vol. 87 (1980), No. 2, 363–372

DOI: 10.2140/pjm.1980.87.363

Abstract

Let A(Δ) be the disc algebra. A Dirichlet subalgebra of A(Δ) is obtained by forming A(p) = A(Δ) ∩{f ∘p : f ∈ A(Δ)} where p(e^it) in a singular homeomorphism of the unit circle. In this paper the endomorphisms of A(p) are described and for a restricted class of these endomorphisms the spectra is computed.

Mathematical Subject Classification 2000

Primary: 46J10

Milestones

Received: 5 December 1978

Published: 1 April 1980