Some classes of multilinear operators on C(K) spaces

• Autorzy: Fernando Bombal , Maite Fernández , Ignacio Villanueva
• Języki publikacji: EN

Abstrakty

EN

We obtain a classification of projective tensor products of C(K) spaces according to whether none, exactly one or more than one factor contains copies of ℓ₁, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces or the verification of certain Banach space properties of the corresponding tensor product. The main tool is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczyński's (V) properties of the projective tensor product of Banach spaces. We also study relationships between several classes of multilinear operators and the associated linear operators.

Kategorie tematyczne

• 46B25: Classical Banach spaces in the general theory
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 148
• Numer: 3
• Strony: 259-273

Daty

wydano

2001

Twórcy

autor

Fernando Bombal

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain

autor

Maite Fernández

• CIMAT, A.P. 402, Guanajuato, Gto. 36000, México

autor

Ignacio Villanueva

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040

Identyfikatory

DOI

10.4064/sm148-3-5