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math.CV2002
Quantum normal families: normal families of holomorphic functions and mappings on a Banach space
Kang-Tae Kim, Steven Krantz
The authors lay the foundations for the study of normal families of holomorphic functions and mappings on an infinite-dimensional normed linear space. Characterizations of normal f…
math.CV2002
Characterization of the Hilbert ball by its Automorphisms
Kang-Tae Kim, Daowei Ma
We show in this paper that every domain in a separable Hilbert space, say $\cH$, which has a smooth strongly pseudoconvex boundary point at which an automorphism orbit accumu…
math.CV2001
Characterization of the Hilbert ball by its automorphism group
Kang-Tae Kim, Steven G. Krantz
Let be a bounded, convex domain in a separable Hilbert space. The authors prove a version of the theorem of Bun Wong, which asserts that if such a domain admits an automorphism…