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Factorization theorems for some scales of operator ideals
Author(s) -
Pietsch Albrecht
Publication year - 1980
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.19800970103
Subject(s) - mathematics , factorization , operator (biology) , combinatorics , algebra over a field , pure mathematics , chemistry , algorithm , biochemistry , repressor , transcription factor , gene
Let p and ℭ p denote the operator ideals generated by the approximation numbers and entropy numbers, respectively. If 0< p , q < ∞ and \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{1}{p} + \frac{1}{q} = \frac{1}{r}, $\end{document} then p ∘ q = r and ℭ p ∘ q =ℭ r .