We investigate Hyers-Ulam stability of non-surjective ε-isomeries of Banach spaces. We also pose and discuss an open problem.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-3, author = {I. A. Vestfrid}, title = {Almost surjective $\epsilon$-isometries of Banach spaces}, journal = {Colloquium Mathematicae}, volume = {100}, year = {2004}, pages = {17-22}, zbl = {1091.46005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-3} }
I. A. Vestfrid. Almost surjective ε-isometries of Banach spaces. Colloquium Mathematicae, Tome 100 (2004) pp. 17-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-3/