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

^*Tämän työn vastaava kirjoittaja

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

14 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	2285-2291
Sivumäärä	7
Julkaisu	Proceedings of the American Mathematical Society
Vuosikerta	125
Numero	8
DOI - pysyväislinkit	https://doi.org/10.1090/s0002-9939-97-03763-5
Tila	Julkaistu - 1997
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1090/s0002-9939-97-03763-5

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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",

pages = "2285--2291",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

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TY - JOUR

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

Abstrakti

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