A nonlinear extension of the Birkhoff-Jentzsch theorem
β Scribed by Ulrich Krause
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 1017 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0022-247X
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## Abstract A version of Birkhoff's theorem is proved by constructive, predicative, methods. The version we prove has two conditions more than the classical one. First, the class considered is assumed to contain a generic family, which is defined to be a setβindexed family of algebras such that if
In this paper, first we make a maximal extension of the well-known Gauss-Markov Theorem (GMT) in its linear framework. In particular, the maximal class of distributions of error term for which the GMT holds is derived. Second, we establish a nonlinear version of the maximal GMT and describe some int