A non-unital algebra has UUNP iff its unitization has UUNP
arXiv:1512.03425
Abstract
Let be a non-unital Banach algebra, S. J. Bhatt and H. V. Dedania showed that has the unique uniform norm property (UUNP) if and only if its unitization has UUNP. Here we prove this result for any non-unital algebra.
arXiv comment2 pages