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Multiple summability properties for Cohen p ‐summing operators
Author(s) -
Popa Dumitru
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400161
Subject(s) - mathematics , multilinear map , linear operators , operator (biology) , pure mathematics , algebra over a field , discrete mathematics , mathematical analysis , chemistry , biochemistry , repressor , transcription factor , bounded function , gene
We prove that Cohen p ‐summing operators satisfy multiple summability properties. Some of these multiple summability properties are new even in the linear case. For example, we prove that the multilinear functional associated to a Cohen p ‐summing n ‐linear operator is multiple ( 2 ;1 , ... , 1 n -times , 2 ) ‐summing.
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