Bennett-Carl inequalities for symmetric Banach sequence spaces and unitary ideals
Andreas Defant, Carsten Michels
Abstract
We prove an abstract interpolation theorem which interpolates the (r,2)-summing and (s,2)-mixing norm of a fixed operator in the image and the range space. Combined with interpolation formulas for spaces of operators we obtain as an application the original Bennett-Carl inequalities for identities acting between Minkowski spaces lu as well as their analogues for Schatten classes Su. Furthermore, our techniques motivate a study of Bennett-Carl inequalities within a more general setting of symmetric Banach sequence spaces and unitary ideals.
Create a lesson
Related papers
Revisiting the Upper Bild of Quaternionic Numerical Ranges
Jie Tian, Tin-Yau Tam
Pseudo-Fredholm operators form a regularity on Hilbert spaces
Zakariae Aznay, Fadil Chabbabi, Hassan Zariouh
A Hardy space approximation supporting zero-free half-planes for the ζ-function
Juan Manzur, Gustavo Quintero
Small Hankel operators on weighted Besov spaces
Chen Li, Kai Wang
Spectra of Beurling algebras of abelian groups
Nico Spronk, Zhihao Zhang
Frame Properties of Effective Stationary Sequences
Chad Berner, John E. Herr, Palle E. T. Jorgensen