Boundaries for Algebras of Holomorphic Functions on Banach Spaces
نویسندگان
چکیده
We study the relations between boundaries for algebras of holomorphic functions on Banach spaces and complex convexity of their balls. In addition, we show that the Shilov boundary for algebras of holomorphic functions on an order continuous sequence space X is the unit sphere SX if X is locally c-convex. In particular, it is shown that the unit sphere of the OrliczLorentz sequence space λφ,w is the Shilov boundary for algebras of holomorphic functions on λφ,w if φ satisfies the δ2-condition.
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