Grothendieck operators on tensor products

P. Domanski*, M. Lindström, G. Schlüchtermann

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

Abstract

We prove that for Banach spaces E, F, G, H and operators T ε L(E,G), S ε L(F,H) the tensor product T ⊗ S : E ⊗ε F → G ⊗ε H is a Grothendieck operator, provided T is a Grothendieck operator and 5 is compact.

Original languageEnglish
Pages (from-to)2285-2291
Number of pages7
JournalProceedings of the American Mathematical Society
Volume125
Issue number8
DOIs
Publication statusPublished - 1997
MoE publication typeA1 Journal article-refereed

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