Holomorphy types and ideals of multilinear mappings

• Autorzy: G. Botelho , H.-A. Braunss , H. Junek , D. Pellegrino
• Języki publikacji: EN

Abstrakty

EN

We explore a condition under which the ideal of polynomials generated by an ideal of multilinear mappings between Banach spaces is a global holomorphy type. After some examples and applications, this condition is studied in its own right. A final section provides applications to the ideals formed by multilinear mappings and polynomials which are absolutely (p;q)-summing at every point.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 46G25: (Spaces of) multilinear mappings, polynomials
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 177
• Numer: 1
• Strony: 43-65

Daty

wydano

2006

Twórcy

autor

G. Botelho

• Faculdade de Matemática, Universidade Federal de Uberlândia, 38.400-902 Uberlândia, Brazil

autor

H.-A. Braunss

• Institute of Mathematics, University of Potsdam, 14469 Potsdam Germany

autor

H. Junek

• Institute of Mathematics, University of Potsdam, 14469 Potsdam Germany

autor

D. Pellegrino

• Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, Caixa Postal 10044, 58.109-970 Campina Grande, Brazil

Identyfikatory

DOI

10.4064/sm177-1-4