On the decomposition theorem for meromorphic Fredholm resolvents
Abstract
In this note results of B. Gramsch and W. Kaballo [8] on the decomposition of meromorphic (semi-) Fredholm resolvents are sharpened. A condition on an Orlicz function φ is given, under which the singular part in this decomposition can be chosen meromorphic in Nφ, the ideal of φ-nuclear operators. Then the necessity of this condition is studied. Moreover, it is shown that for the rather steep Orlicz functions relevant to this question, Nφ equals Sφ, the ideal of φ-approximable operators. © 1994 Birkhüser Verlag.
Source or Periodical Title
Integral Equations and Operator Theory
ISSN
0378620X
Page
78-87
Document Type
Article
Subject
AMS classification: Primary 47A56, Secondary 47B06, 47B10
Recommended Citation
Castillo, Sharon and Kaballo, Winfried, "On the decomposition theorem for meromorphic Fredholm resolvents" (2021). Journal Article. 3614.
https://www.ukdr.uplb.edu.ph/journal-articles/3614