|
6 | ehhh | ||
|
1) Given $p\in (1,\infty)$. 2) Let us fix two, non-isometric subspaces $X,Y\subseteq \ell_p$ isomorphic to $\ell_p$. 3) Are there an $\varepsilon\in (0,1)$ and an operatorisomorphism $S\colon X\to Y$ such that $$(1-\varepsilon)\|x\|\leqslant \|Sx\|\leqslant (1+\varepsilon)\|x\|$$ holds for each $x\in X$? |
||||
|
|
5 | dr | ||
|
1) Given $p\in (1,\infty)$. 2) Let us fix two, non-isometric subspaces $X,Y\subseteq \ell_p$ isomorphic to $\ell_p$. 3) Are there an $\varepsilon\in (0,1)$ and an operator $S\colon X\to Y$ such that $$(1-\varepsilon)\|x\|\leqslant \|Sx\|\leqslant (1+\varepsilon)\|x\|$$ holds for each $x\in X$? |
||||
|
|
4 | dr | ||
|
1) Given $p\in (1,\infty)$. 2) Let us fix two, non-isometric subspaces $X,Y\subseteq \ell_p$ isomorphic to $\ell_p$. 3) Are there an $\varepsilon\geqslant0$ \varepsilon\in (0,1)$ and an operator $S\colon X\to Y$ such that $$(1-\varepsilon)\|x\|\leqslant \|Sx\|\leqslant (1+\varepsilon)\|x\|$$ holds for each $x\in X$? |
||||
|
3 | clar | ||
|
|
2 | dr | ||
|
|
1 |
|
||
