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A
Phragmén-Lindelöf theorem for function algebras
Irving Leonard Glicksberg |
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Vol. 22 (1967), No. 3, 401–406
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Abstract |
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Let A be a function algebra, considered as a closed subalgebra of C(M), where M is the space of multiplicative linear functionals on A. Let ∂ denote the Šilov boundary of A. We shall call M∖∂ the “interior of M” and say a function g on this “interior” is A-holomorphic if each φ in M∖∂ has a neighborhood on which g is uniformly approximable by elements of A. What we shall observe here is that results of the Phragmén-Lindelöf type apply to certain A-holomorphic functions. |
Mathematical Subject Classification
Primary: 46.55
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Milestones
Received: 19 April 1966
Published: 1 September 1967
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Authors |
| Irving Leonard Glicksberg | |
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