Timeline for Equivalent definitions of $\mathscr{L}_p$-spaces
Current License: CC BY-SA 3.0
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Nov 21, 2015 at 23:45 | comment | added | Mikhail Ostrovskii | It is worth mentioning that the definitions are equivalent "up to an $\varepsilon$". For example, $C(0,1)$ is an $\mathcal{L}_{\infty,1}$-space in the first sense and only $\mathcal{L}_{\infty,1+\varepsilon}$-space in the second sense. | |
Nov 6, 2015 at 16:38 | history | answered | Bill Johnson | CC BY-SA 3.0 |