Open AccessOn Composition Ideals of Multilinear Mappings and Homogeneous Polynomials
Author(s) -
Geraldo Botelho,
Daniel Pellegrino,
Pilar Rueda
Publication year - 2007
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1201012383
Subject(s) - multilinear map , mathematics , homogeneous , composition (language) , pure mathematics , discrete mathematics , combinatorics , philosophy , linguistics
Given an operator ideal I, we study the multi-ideal I ο L and the polynomial ideal I ο P). The connection with the linearizations of these mappings on projective symmetric tensor products is investigated in detail. Applications to the ideals of strictly singular and absolutely summing linear operators are obtained.
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