Geodesic
Holomorphy types and ideals of multilinear mappings
G. Botelho1 ; H.-A. Braunss2 ; H. Junek2 ; D. Pellegrino3
1Faculdade de Matemática Universidade Federal de Uberlândia 38.400-902 Uberlândia, Brazil
2Institute of Mathematics University of Potsdam 14469 Potsdam Germany
3Departamento de Matemática e Estatística Universidade Federal de Campina Grande Caixa Postal 10044 58.109-970 Campina Grande, Brazil
Studia Mathematica, Tome 177 (2006) no. 1, pp. 43-65
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm177-1-4
Keywords: explore condition under which ideal polynomials generated ideal multilinear mappings between banach spaces global holomorphy type after examples applications condition studied its own right final section provides applications ideals formed multilinear mappings polynomials which absolutely summing every point

G. Botelho  1   ; H.-A. Braunss  2   ; H. Junek  2   ; D. Pellegrino  3

1 Faculdade de Matemática Universidade Federal de Uberlândia 38.400-902 Uberlândia, Brazil
2 Institute of Mathematics University of Potsdam 14469 Potsdam Germany
3 Departamento de Matemática e Estatística Universidade Federal de Campina Grande Caixa Postal 10044 58.109-970 Campina Grande, Brazil 
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G. Botelho; H.-A. Braunss; H. Junek; D. Pellegrino. Holomorphy types and ideals of multilinear mappings. Studia Mathematica, Tome 177 (2006) no. 1, pp. 43-65. doi: 10.4064/sm177-1-4

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