The preparation theorem on Banach spaces

DOI10.1007/BF01783692zbMath0955.46014MaRDI QIDQ1570194

Ferrante Balboni

Publication date: 14 February 2001

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

determinantmoduleWeierstrass preparation theoremFredholm maps between Banach spaceslemma of Nakayama

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) (Semi-) Fredholm operators; index theories (47A53) Derivatives of functions in infinite-dimensional spaces (46G05) Power series rings (13J05)

Related Items (2)

Local algebras of differential operators ⋮ Mathematical developments arising from 'semantical implication' and the evaluation of membership characteristic functions

Cites Work

• Manifolds, tensor analysis, and applications.
• Analyse différentielle
• Stability of \(C^ \infty\) mappings. I: The division theorem
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• NON-LINEAR FREDHOLM MAPS AND THE LERAY-SCHAUDER THEORY
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