Invariance of domain in Banach spaces
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- by Nishan Krikorian PDF
- Proc. Amer. Math. Soc. 60 (1976), 367-368 Request permission
Abstract:
A continuous one-one map of the open unit disc of ${l^\infty }$ onto itself which is not a homeomorphism is constructed.References
- Victor L. Klee Jr., Convex bodies and periodic homeomorphisms in Hilbert space, Trans. Amer. Math. Soc. 74 (1953), 10–43. MR 54850, DOI 10.1090/S0002-9947-1953-0054850-X J. Schauder, Invarianz des Gebietes in Funktionalräumen, Studia Math. 1 (1929), 123-139.
- A. J. Tromba, Some theorems on Fredholm maps, Proc. Amer. Math. Soc. 34 (1972), 578–585. MR 298713, DOI 10.1090/S0002-9939-1972-0298713-0
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 367-368
- MSC: Primary 58B05; Secondary 47H99
- DOI: https://doi.org/10.1090/S0002-9939-1976-0426017-5
- MathSciNet review: 0426017