1 results
Preduals and Nuclear Operators Associated with Bounded,
$p$-Convex, $p$-Concave and Positive $p$-Summing Operators
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- Journal:
- Canadian Journal of Mathematics / Volume 59 / Issue 3 / 01 June 2007
- Published online by Cambridge University Press:
- 20 November 2018, pp. 614-637
- Print publication:
- 01 June 2007
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- Article
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We use Krivine's form of the Grothendieck inequality to renorm the space of bounded linear maps acting between Banach lattices. We construct preduals and describe the nuclear operators associated with these preduals for this renormed space of bounded operators as well as for the spaces of
$p$-convex, $p$-concave and positive $p$-summing operators acting between Banach lattices and Banach spaces. The nuclear operators obtained are described in terms of factorizations through classical Banach spaces via positive operators.
