2 problems

0 votes0 replies1 view
The universal failure of domination conjecture for homogeneous polynomials
A continuous $m$ -homogeneous polynomial $P$ from a Banach space $X$ to a Banach space $Y$ is $r$ -dominated if $(P(x_j))_{j=1}^{\infty}$ is $\frac{r}{m}$ -summable in $Y$ whenever…
Conjectureopenbanach-spaces dominated-polynomials infinite-dimensional-analysisarXiv posted 2 days ago
0 votes0 replies0 views
The non-uniform domination conjecture for homogeneous polynomials
A continuous $m$ -homogeneous polynomial $P$ from a Banach space $X$ to a Banach space $Y$ is $r$ -dominated if $(P(x_j))_{j=1}^{infty}$ is $\frac{r}{m}$ -summable in $Y$ whenever…
Conjectureopenbanach-spaces dominated-polynomials infinite-dimensional-analysisarXiv posted 2 days ago

The universal failure of domination conjecture for homogeneous polynomials