Composition of (E,2)-summing operators

• Autorzy: Andreas Defant , Mieczysław Mastyło
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47L20: Operator ideals
• 46B70: Interpolation between normed linear spaces
• 47B06: Riesz operators; eigenvalue distributions; approximation numbers, s -numbers, Kolmogorov numbers, entropy numbers, etc. of operators
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 159
• Numer: 1
• Strony: 51-65

Daty

wydano

2003

Twórcy

autor

Andreas Defant

• Fachberich Mathematik, Carl von Ossietzky Universität, Postfach 2503, D-26111 Oldenburg, Germany

autor

Mieczysław Mastyło

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University
• Institute of Mathematics, Polish Academy of Sciences, (Poznań branch), Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/sm159-1-3