6533b86ffe1ef96bd12cdc3a

RESEARCH PRODUCT

On ideals of polynomials and multilinear mappings between Banach spaces

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description

It is shown that for every quasi-normed ideal ${\cal Q}$ of n-homogeneous continuous polynomials between Banach spaces there is a quasi-normed ideal ${\cal A}$ of n-linear continuous mappings ${\cal A}$ such that $q \in {\cal Q}$ if and only if the associated n-linear mapping $\check{q}$ of q is in ${\cal A}$.