We generalize a result of Choi and Effros on the range of a contractive completely positive projection in a C*-algebra to the case when this projection is only strongly positive using, moreover, an elementary argument instead of a 2×2-matrix technique.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm140-1-7, author = {Andrzej \L uczak}, title = {Range of a contractive strongly positive projection in a C*-algebra}, journal = {Colloquium Mathematicae}, volume = {139}, year = {2015}, pages = {87-89}, zbl = {06440591}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm140-1-7} }
Andrzej Łuczak. Range of a contractive strongly positive projection in a C*-algebra. Colloquium Mathematicae, Tome 139 (2015) pp. 87-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm140-1-7/