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Domains which are locally uniformly linearly convex in the Kobayashi distance. (English) Zbl 1027.46051
The paper presents a construction of domains in complex reflexive Banach spaces, which are locally uniformly linearly convex with respect to their Kobayashi distances. Relations between the local uniform convexity and the global one are studied.

MSC:
46G20 Infinite-dimensional holomorphy
32A10 Holomorphic functions of several complex variables
32F45 Invariant metrics and pseudodistances in several complex variables
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