Invariance of domain in Banach spaces

Krikorian, Nishan

doi:10.1090/S0002-9939-1976-0426017-5

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

Invarianz des Gebietes in Funktionalräumen

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