Composition results for strongly summing and dominated multilinear operators

• Autorzy: Dumitru Popa
• Języki publikacji: EN

Abstrakty

EN

In this paper we prove some composition results for strongly summing and dominated operators. As an application we give necessary and sufficient conditions for a multilinear tensor product of multilinear operators to be strongly summing or dominated. Moreover, we show the failure of some possible n-linear versions of Grothendieck’s composition theorem in the case n ≥ 2 and give a new example of a 1-dominated, hence strongly 1-summing bilinear operator which is not weakly compact.

Słowa kluczowe

EN

p-summing; Dominated; Strongly summing; Multilinear operators

Kategorie tematyczne

• 46G25: (Spaces of) multilinear mappings, polynomials
• 46C99: None of the above, but in this section
• 46B25: Classical Banach spaces in the general theory
• 47H60: Multilinear and polynomial operators

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 10
• Strony: 1433-1446

Daty

wydano

2014-10-01

online

2014-06-21

Twórcy

autor

Dumitru Popa

• Ovidius University of Constanta

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0423-0