Weyl numbers versus Z-Weyl numbers

Bernd Carl, Andreas Defant, and Doris Planer. "Weyl numbers versus Z-Weyl numbers." Studia Mathematica 223.3 (2014): 233-250. <http://eudml.org/doc/286204>.

@article{BerndCarl2014,
abstract = {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.},
author = {Bernd Carl, Andreas Defant, Doris Planer},
journal = {Studia Mathematica},
keywords = {-numbers; Weyl numbers},
language = {eng},
number = {3},
pages = {233-250},
title = {Weyl numbers versus Z-Weyl numbers},
url = {http://eudml.org/doc/286204},
volume = {223},
year = {2014},
}

TY - JOUR
AU - Bernd Carl
AU - Andreas Defant
AU - Doris Planer
TI - Weyl numbers versus Z-Weyl numbers
JO - Studia Mathematica
PY - 2014
VL - 223
IS - 3
SP - 233
EP - 250
AB - 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.
LA - eng
KW - -numbers; Weyl numbers
UR - http://eudml.org/doc/286204
ER -