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

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