lineally convex
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Author(s):  
Sergej V. Znamenskij

C-convexity of the closure, interiors and their lineal convexity are considered for C-convex sets under additional conditions of boundedness and nonempty interiors. The following questions on closure and the interior of C-convex sets were tackled 1. The closure of a bounded C-convex domain may not be lineally-convex. 2. The closure of a non-empty interior of a C-convex compact in Cn may not coincide with the original compact. 3. The interior of the closure of a bounded C-convex domain always coincides with the domain itself. The questions were formulated by Yu. B. Zelinsky


2006 ◽  
Vol 54 (2) ◽  
pp. 341-352 ◽  
Author(s):  
Klas Diederich ◽  
Bert Fischer

2003 ◽  
Vol 112 (4) ◽  
pp. 403-431 ◽  
Author(s):  
Klas Diederich ◽  
John Erik Forn�ss

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