|
|||||
|
|
|
|
|
|
|
|
|
The spectra of
endomorphisms of algebras of analytic functions
Herbert Meyer Kamowitz |
|
Vol. 66 (1976), No. 2, 433–442
|
Abstract |
|
Suppose 0 < R < 1, G is the open annulus {z∣R < |z| < 1} and A(G) denotes the uniform algebra of functions analytic on G and continuous on G. Each nonzero endomorphism T of A(G) has the form Tf = f ∘ φ for some φ ∈ A(G) with φ(G) ⊂ G. In the main result of this note, the spectra of endomorphisms of A(G) are determined for the case where the inducing maps φ have a fixed point in G. In addition, further results are discussed for other algebras of analytic functions. |
Mathematical Subject Classification 2000
Primary: 47B37
Secondary: 46J15
|
Milestones
Received: 10 May 1976
Published: 1 October 1976
|
Authors |
| Herbert Meyer Kamowitz | |
|
