Weyl numbers versus Z-Weyl numbers

• Autorzy: Bernd Carl , Andreas Defant , Doris Planer
• Języki publikacji: EN

Abstrakty

EN

Given an infinite-dimensional Banach space Z (substituting the Hilbert space ℓ₂), the s-number sequence of Z-Weyl numbers is generated by the approximation numbers according to the pattern of the classical Weyl numbers. We compare Weyl numbers with Z-Weyl numbers-a problem originally posed by A. Pietsch. We recover a result of Hinrichs and the first author showing that the Weyl numbers are in a sense minimal. This emphasizes the outstanding role of Weyl numbers within the theory of eigenvalue distribution of operators between Banach spaces.

Kategorie tematyczne

• 47B06: Riesz operators; eigenvalue distributions; approximation numbers, s -numbers, Kolmogorov numbers, entropy numbers, etc. of operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 223
• Numer: 3
• Strony: 233-250

Daty

wydano

2014

Twórcy

autor

Bernd Carl

• Mathematisches Institut, FSU Jena, Ernst-Abbe-Platz 1-3, D-07743 Jena, Germany

autor

Andreas Defant

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

autor

Doris Planer

• Fachbereich Grundlagenwissenschaften, Ernst-Abbe-Fachhochschule Jena, Postfach 100314, D-07743 Jena, Germany

Identyfikatory

DOI

10.4064/sm223-3-4