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

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

14 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 language	English
Pages (from-to)	2285-2291
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	125
Issue number	8
DOIs	https://doi.org/10.1090/s0002-9939-97-03763-5
Publication status	Published - 1997
MoE publication type	A1 Journal article-refereed

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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",

year = "1997",

doi = "10.1090/s0002-9939-97-03763-5",

language = "English",

volume = "125",

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T1 - Grothendieck operators on tensor products

AU - Domanski, P.

AU - Lindström, M.

AU - Schlüchtermann, G.

PY - 1997

Y1 - 1997

N2 - 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.

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

M3 - Article

AN - SCOPUS:33646980822

SN - 0002-9939

VL - 125

SP - 2285

EP - 2291

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

ER -

Grothendieck operators on tensor products

Abstract

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