Boundaries for algebras of holomorphic functions on Banach spaces

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dc.creatorChoi, Yun Sung
dc.creatorHan, Kwang Hee
dc.creatorLee, Han Ju
dc.date2007-08-30
dc.date.accessioned2026-07-07T08:26:37Z
dc.date.available2026-07-07T08:26:37Z
dc.descriptionWe 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 $S_X$ if $X$ is locally c-convex. In particular, it is shown that the unit sphere of the Orlicz-Lorentz sequence space $λ_{ϕ, w}$ is the Shilov boundary for algebras of holomorphic functions on $λ_{ϕ, w}$ if $ϕ$ satisfies the $δ_2$-condition.
dc.identifierhttps://arxiv.org/abs/0708.4068
dc.identifierhttp://arxiv.org/abs/0708.4068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137004
dc.subjectFunctional Analysis
dc.subject46E50; 46B20; 46B45
dc.titleBoundaries for algebras of holomorphic functions on Banach spaces
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