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Nonlocal uniform
algebras on three-manifolds
Alexander J. Izzo |
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Vol. 259 (2012), No. 1, 109–116
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Abstract |
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The existence of nonlocal uniform algebras was first proven by Eva Kallin in 1963. Here we prove that on every compact C∞-manifold of dimension greater than or equal to three, there exists a nonlocal uniform algebra generated by C∞-smooth functions. |
Keywords
nonlocal uniform algebra, three-manifold
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Mathematical Subject Classification 2010
Primary: 46J10, 46J15, 30H50, 30J15
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Milestones
Received: 7 August 2011
Revised: 29 November 2011
Accepted: 5 December 2011
Published: 31 August 2012
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Authors |
| Alexander J. Izzo | |
| Department of Mathematics and
Statistics Bowling Green State University Bowling Green, OH 43403 United States |
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