Composition of $(E,2)$-summing operators
Tom 159 / 2003
Studia Mathematica 159 (2003), 51-65 MSC: Primary 47B10, 47L20; Secondary 46B70, 47B06. DOI: 10.4064/sm159-1-3
The Banach operator ideal of $(q,2)$-summing operators plays a fundamental role within the theory of $s$-number and eigenvalue distribution of Riesz operators in Banach spaces. A key result in this context is a composition formula for such operators due to H. König, J. R. Retherford and N. Tomczak-Jaegermann. Based on abstract interpolation theory, we prove a variant of this result for $(E,2)$-summing operators, $E$ a symmetric Banach sequence space.