On operators from ${\ell }_s$ to ${\ell }_p\otimes ̂{\ell }_q$ or to ${\ell }_p\widehat{\otimes ̂}{\ell }_q$

Christian Samuel. "On operators from $ℓ_{s}$ to $ℓ_{p} ⊗̂ ℓ_{q}$ or to $ℓ_{p} \widehat{⊗̂} ℓ_{q}$." Colloquium Mathematicae 121.1 (2010): 25-33. <http://eudml.org/doc/283586>.

@article{ChristianSamuel2010,
abstract = {We show that every operator from $ℓ_\{s\}$ to $ℓ_\{p\} ⊗̂ ℓ_\{q\}$ is compact when 1 ≤ p,q < s and that every operator from $ℓ_\{s\}$ to $ℓ_\{p\} \widehat\{⊗̂\} ℓ_\{q\}$ is compact when 1/p + 1/q > 1 + 1/s.},
author = {Christian Samuel},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {25-33},
title = {On operators from $ℓ_\{s\}$ to $ℓ_\{p\} ⊗̂ ℓ_\{q\}$ or to $ℓ_\{p\} \widehat\{⊗̂\} ℓ_\{q\}$},
url = {http://eudml.org/doc/283586},
volume = {121},
year = {2010},
}

TY - JOUR
AU - Christian Samuel
TI - On operators from $ℓ_{s}$ to $ℓ_{p} ⊗̂ ℓ_{q}$ or to $ℓ_{p} \widehat{⊗̂} ℓ_{q}$
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 1
SP - 25
EP - 33
AB - We show that every operator from $ℓ_{s}$ to $ℓ_{p} ⊗̂ ℓ_{q}$ is compact when 1 ≤ p,q < s and that every operator from $ℓ_{s}$ to $ℓ_{p} \widehat{⊗̂} ℓ_{q}$ is compact when 1/p + 1/q > 1 + 1/s.
LA - eng
UR - http://eudml.org/doc/283586
ER -