TY - JOUR AU - Pellegrino, Daniel AU - Seoane-Sepúlveda, Juan B. PY - 2015 DO - 10.1080/03081087.2013.877013 SN - 0308-1087 UR - https://hdl.handle.net/20.500.14352/23017 T2 - Linear & Multilinear Algebra AB - Grothendieck's theorem asserts that every continuous linear operator from ℓ1 to ℓ2 is absolutely (1;1)-summing. In this note we prove that the optimal constant gm so that every continuous m-linear operator from ℓ1×⋯×ℓ1 to ℓ2 is absolutely... LA - eng M2 - 554 PB - Taylor & Francis KW - lineability KW - spaceability KW - absolutely summing operators TI - Grothendieck's theorem for absolutely summing multilinear operators is optimal TY - journal article VL - 63 ER -