Grothendieck operators on tensor products

P. Domanski; M. Lindström; G. Schlüchtermann

doi:10.1090/s0002-9939-97-03763-5

Grothendieck operators on tensor products

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

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

14 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Engelska
Sidor (från-till)	2285-2291
Antal sidor	7
Tidskrift	Proceedings of the American Mathematical Society
Volym	125
Nummer	8
DOI	https://doi.org/10.1090/s0002-9939-97-03763-5
Status	Publicerad - 1997
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

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title = "Grothendieck operators on tensor products",

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.",

author = "P. Domanski and M. Lindstr{\"o}m and G. Schl{\"u}chtermann",

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AU - Domanski, P.

AU - Lindström, M.

AU - Schlüchtermann, G.

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AB - 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.

UR - https://www.scopus.com/pages/publications/33646980822

U2 - 10.1090/s0002-9939-97-03763-5

DO - 10.1090/s0002-9939-97-03763-5

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VL - 125

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EP - 2291

JO - Proceedings of the American Mathematical Society

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Grothendieck operators on tensor products

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