MMN-1260
Approximately algebraic tensor products
Ismail Nikoufar; Themistocles M. Rassias;Abstract
Let $X$ and $Y$ be normed spaces over a complete field $\Bbb{F}$ with dual spaces $X'$ and $Y'$
respectively. Under certain hypotheses, for given
$x\in X$, $y\in Y$ and a mapping $u$ from $X'\times Y'$ to $\Bbb{F}$, we apply Hyers--Ulam approach to find a unique bounded bilinear mapping $v$
near to $u$ such that $||v||=||x\otimes y||$.
Vol. 16 (2015), No. 1, pp. 361-368
DOI: 10.18514/MMN.2015.1260