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Holomorphic automorphism groups in certain compact operator spaces. (English) Zbl 0738.47031
Summary: A class of Banach spaces of compact operators in Hilbert spaces is introduced, and the holomorphic automorphism groups of the unit balls of these spaces are investigated.

MSC:
47D03 Groups and semigroups of linear operators
46G20 Infinite-dimensional holomorphy
47L05 Linear spaces of operators
47L30 Abstract operator algebras on Hilbert spaces
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