Vol. 87, No. 2, 1980

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The endomorphisms of a Dirichlet algebra

Bruce Stephen Lund

Vol. 87 (1980), No. 2, 363–372
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(eit) 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
Authors
Bruce Stephen Lund