The fixed points of holomorphic maps on a convex domain

• Autorzy: Do Duc Thai
• Języki publikacji: EN

Abstrakty

EN

We give a simple proof of the result that if D is a (not necessarily bounded) hyperbolic convex domain in $ℂ^n$ then the set V of fixed points of a holomorphic map f:D → D is a connected complex submanifold of D; if V is not empty, V is a holomorphic retract of D. Moreover, we extend these results to the case of convex domains in a locally convex Hausdorff vector space.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991-1992
• Tom: 56
• Numer: 2
• Strony: 143-148

Daty

wydano

1992

otrzymano

1990-05-09

poprawiono

1990-10-10

Twórcy

autor

Do Duc Thai

• Department of Mathematics, Pedagogical Institute of Ha Noi N°I, Ha Noi, Viet Nam

Bibliografia

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