Coincidence of extendible vector-valued ideals with their minimal kernel
We provide coincidence results for vector-valued ideals of multilinear operators. More precisely, if A is an ideal of n-linear mappings we give conditions for which the equality A(E1,. . .,En;F)=Amin(E1,. . .,En;F) holds isometrically. As an application, we obtain in many cases that the monomials fo...
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| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0022247X_v421_n2_p1743_Galicer |
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| Sumario: | We provide coincidence results for vector-valued ideals of multilinear operators. More precisely, if A is an ideal of n-linear mappings we give conditions for which the equality A(E1,. . .,En;F)=Amin(E1,. . .,En;F) holds isometrically. As an application, we obtain in many cases that the monomials form a Schauder basis of the space A(E1,. . .,En;F). Several structural and geometric properties are also derived using this equality. We apply our results to the particular case where A is the classical ideal of extendible or Pietsch-integral multilinear operators. Similar statements are given for ideals of vector-valued homogeneous polynomials. © 2014 Elsevier Inc. |
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