Boundaries for algebras of holomorphic functions on Banach spaces

Details Boundaries for algebras of holomorphic functions on Banach spaces Boundaries for algebras of holomorphic functions on Banach spaces

2007-08-30

arxiv.org/abs/0708.4068v1

Mathematics

Functional Analysis

Scientific paper

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 $S_X$ if $X$ is locally c-convex. In particular, it is shown that the unit sphere of the Orlicz-Lorentz sequence space $\lambda_{\phi, w}$ is the Shilov boundary for algebras of holomorphic functions on $\lambda_{\phi, w}$ if $\phi$ satisfies the $\delta_2$-condition.

Affiliated with

Also associated with

No associations

Rating

Boundaries for algebras of holomorphic functions on Banach spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Boundaries for algebras of holomorphic functions on Banach spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundaries for algebras of holomorphic functions on Banach spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-205535