A note on equicontinuity of families of operators and automorphisms

Details A note on equicontinuity of families of operators and automorphisms A note on equicontinuity of families of operators and automorphisms

2007-05-07

arxiv.org/abs/0705.0908v2

Mathematics

Functional Analysis

8 pages, typos corrected

Scientific paper

This note concerns uniform equicontinuity of families of operators on a separable Hilbert space H, and of families of maps on B(H). It is shown that a one parameter group of automorphisms is uniformly equicontinuous if and only if the group of unitaries which implements it is so. A "geometrical" necessary and sufficient condition is given for a family of operators to be uniformly equicontinuous.

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