On the inverse function theorem: A counterexample
HTML articles powered by AMS MathViewer
- by Hugh E. Warren
- Proc. Amer. Math. Soc. 38 (1973), 434-435
- DOI: https://doi.org/10.1090/S0002-9939-1973-0312262-3
- PDF | Request permission
Abstract:
The inverse function theorem for analytic functions has a generalization to $C(X)$ which fails in the disk algebra.References
- Lars V. Ahlfors, Complex analysis: An introduction of the theory of analytic functions of one complex variable, 2nd ed., McGraw-Hill Book Co., New York-Toronto-London, 1966. MR 0188405
- Barnett W. Glickfeld, On the inverse function theorem in commutative Banach algebras, Illinois J. Math. 15 (1971), 212–221. MR 273408
- Edgar R. Lorch, The theory of analytic functions in normed Abelian vector rings, Trans. Amer. Math. Soc. 54 (1943), 414–425. MR 9090, DOI 10.1090/S0002-9947-1943-0009090-0
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 434-435
- MSC: Primary 46G05; Secondary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0312262-3
- MathSciNet review: 0312262