Geodesic
Composition of $(E,2)$-summing operators
Andreas Defant1 ; Mieczysław Mastyło2
1 Fachberich Mathematik Carl von Ossietzky Universität Postfach 2503 D-26111 Oldenburg, Germany
2 Faculty of Mathematics and Computer Science Adam Mickiewicz University and Institute of Mathematics Polish Academy of Sciences (Poznań branch) Umultowska 87 61-614 Poznań, Poland
Studia Mathematica, Tome 159 (2003) no. 1, pp. 51-65

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm159-1-3
Keywords: banach operator ideal summing operators plays fundamental role within theory s number eigenvalue distribution riesz operators banach spaces key result context composition formula operators due nig retherford tomczak jaegermann based abstract interpolation theory prove variant result summing operators symmetric banach sequence space

Andreas Defant 1 ; Mieczysław Mastyło 2

1 Fachberich Mathematik Carl von Ossietzky Universität Postfach 2503 D-26111 Oldenburg, Germany
2 Faculty of Mathematics and Computer Science Adam Mickiewicz University and Institute of Mathematics Polish Academy of Sciences (Poznań branch) Umultowska 87 61-614 Poznań, Poland 
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Andreas Defant; Mieczysław Mastyło. Composition of $(E,2)$-summing operators. Studia Mathematica, Tome 159 (2003) no. 1, pp. 51-65. doi: 10.4064/sm159-1-3

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