1. On 2-local *-automorphisms and 2-local isometries of B(H)
- Author
-
Molnár, Lajos
- Subjects
Mathematics - Functional Analysis ,Mathematics::Group Theory ,Mathematics - Operator Algebras ,FOS: Mathematics ,Operator Algebras (math.OA) ,Functional Analysis (math.FA) - Abstract
It is an important result of \v Semrl which states that every 2-local automorphism of the full operator algebra over a separable Hilbert space is necessarily an automorphism. In this paper we strengthen that result quite substantially for *-automorphisms. Indeed, we show that one can compress the defining two equations of 2-local *-automorphisms into one single equation, hence weakening the requirement significantly, but still keeping essentially the conclusion that such maps are necessarily *-automorphisms., Comment: To appear in J. Math. Anal. Appl
- Published
- 2019
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