Assertion: space | /r/HasProperty | ℓ p \displaystyle \ell ^{p
Facets:
Source sentences:
text: For p ∈ [ 1 , ∞ ] {\displaystyle p\in [1,\infty ]} , the spaces ℓ p {\displaystyle \ell ^{p}} are increasing in p {\displaystyle p} , with the inclusion operator being continuous: for 1 ≤ p < q ≤ ∞ {\displaystyle 1\leq p<q\leq \infty } , one has ‖ f ‖ q