Back to Search
Start Over
On 2-local *-automorphisms and 2-local isometries of B(H)
- Publication Year :
- 2019
-
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.<br />Comment: To appear in J. Math. Anal. Appl
- Subjects :
- Mathematics - Functional Analysis
Mathematics - Operator Algebras
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1906.09446
- Document Type :
- Working Paper