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Complex convexity

A set in is called -convex if its intersection with any complex line is contractible.
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Convex analysisConvex function

Papers overview

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2014
2014
A complex convexity theorem
2007
2007
Boundaries for algebras of holomorphic functions on Banach spaces
We study the relations between boundaries for algebras of holomorphic functions on Banach spaces and complex convexity of their… 
2004
2004
Extension of polynomials, complex convexity and M-ideal properties of Banach function spaces = Banach 함수 공간에서 다항식의 확장, 복소 볼록성과 M-ideal 성질
1999
1999
On polynomial interpolation and complex convexity
1988
1988
Complex convexity and finitely additive vector measures
. We prove that complex uniform convexity of a complex normed space X is equivalent to complex uniform convexity of bva(7, X… 
1987
1987
Compact convex sets and complex convexity
We construct a quasi-Banach space which cannot be given an equivalent plurisubharmonic quasi-norm, but such that it has a…