On an inclusion between operator ideals |
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| Authors: | Manuel A Fugarolas |
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| Institution: | (1) Faculty of Mathematics and Computer Science, A. Mickiewicz University Poznań and Institute of Mathematics, Polish Academy of Sciences (Poznań branch), Umultowska 87, 61-614 Poznań, Poland |
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| Abstract: | Let 1 ⩽ q < p < ∞ and 1/r:= 1/p max(q/2, 1). We prove that L
r,p
(c), the ideal of operators of Gel’fand type l
r,p
, is contained in the ideal Π
p,q
of (p, q)-absolutely summing operators. For q > 2 this generalizes a result of G. Bennett given for operators on a Hilbert space. |
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| Keywords: | |
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