Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

Holomorphy types and ideals of multilinear mappings

Tom 177 / 2006

Studia Mathematica 177 (2006), 43-65 MSC: Primary 46G25, 46G20; Secondary 47B10. DOI: 10.4064/sm177-1-4

Streszczenie

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.

Autorzy

38.400-902 Uberlândia, Brazil
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• H.-A. BraunssInstitute of Mathematics
University of Potsdam
14469 Potsdam Germany
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• H. JunekInstitute of Mathematics
University of Potsdam
14469 Potsdam Germany
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• D. PellegrinoDepartamento de Matemática e Estatística