MULTILINEAR VARIANTS OF GROTHENDIECK'S COMPOSITION THEOREM

作者：Popa Dumitru^*

来源：Operators and Matrices, 2016, 10(1): 149-162.

DOI：10.7153/oam-10-10

• p-summing
• multilinear operators
• multiple summing
• Hilbert-Schmidt
• nuclear operators

In this paper we prove two multilinear variants of Grothendieck's composition theorem. We give examples which show that other natural multilinear variants of Grothendieck's composition theorem are not necessarily true. In addition we prove a new multilinear variant of Grothendieck's composition theorem.

• 出版日期2016-3