On 2-local *-automorphisms and 2-local isometries of B(H)
Functional Analysis
2019-06-25 v1 Operator Algebras
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.
Cite
@article{arxiv.1906.09446,
title = {On 2-local *-automorphisms and 2-local isometries of B(H)},
author = {Lajos Molnár},
journal= {arXiv preprint arXiv:1906.09446},
year = {2019}
}
Comments
To appear in J. Math. Anal. Appl