Coincidence of topologies on tensor products of Köthe echelon spaces
Tom 111 / 1994
Studia Mathematica 111 (1994), 263-281 DOI: 10.4064/sm-111-3-263-281
We investigate conditions under which the projective and the injective topologies coincide on the tensor product of two Köthe echelon or coechelon spaces. A major tool in the proof is the characterization of the επ-continuity of the tensor product of two diagonal operators from $l_p$ to $l_q$. Several sharp forms of this result are also included.