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/