The Hoffman-Rossi theorem for operator algebras
Operator Algebras
2019-05-21 v2 Functional Analysis
Abstract
We study possible noncommutative (operator algebra) variants of the classical Hoffman-Rossi theorem from the theory of function algebras. In particular we give a condition on the range of a contractive weak* continuous homomorphism defined on an operator algebra A, which is necessary and sufficient (in the setting we explain) for a positive weak* continuous extension to any von Neumann algebra containing A.
Cite
@article{arxiv.1808.06938,
title = {The Hoffman-Rossi theorem for operator algebras},
author = {David P. Blecher and Luis C. Flores and Beate G. Zimmer},
journal= {arXiv preprint arXiv:1808.06938},
year = {2019}
}
Comments
6 pages, To appear