Different types of seminorms on a quasi *-algebra (𝔄,𝔄₀) are constructed from a suitable family ℱ of sesquilinear forms on 𝔄. Two particular classes, extended C*-seminorms and CQ*-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended C*-seminorms on (𝔄,𝔄₀) is given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-2-1,
author = {Camillo Trapani},
title = {Some seminorms on quasi *-algebras},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {99-115},
zbl = {1041.46036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-2-1}
}
Camillo Trapani. Some seminorms on quasi *-algebras. Studia Mathematica, Tome 157 (2003) pp. 99-115. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-2-1/