Open AccessA Composition Theorem for Multiple Summing Operators
Author(s) -
David Pérez-Garcı́a,
Ignacio Villanueva
Publication year - 2005
Publication title -
monatshefte für mathematik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 37
eISSN - 1436-5081
pISSN - 0026-9255
DOI - 10.1007/s00605-005-0316-1
Subject(s) - multilinear map , composition (language) , mathematics , operator (biology) , linear operators , composition operator , pure mathematics , operator theory , algebra over a field , discrete mathematics , finite rank operator , mathematical analysis , chemistry , banach space , linguistics , repressor , philosophy , transcription factor , gene , bounded function , biochemistry
We prove that the composition S(u(1),..., u(n)) of a multilinear multiple 2-summing operator S with 2-summing linear operators u(j) is nuclear, generalizing a linear result of Grothendieck
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