Applications of fixed point theorems in the theory of invariant subspaces

We survey several applications of fixed point theorems in the theory of invariant subspaces. The general idea is that a fixed point theorem applied to a suitable map yields the existence of invariant subspaces for an operator on a Banach space. MSC: 47A15, 47H10.

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Bibliographic Details
Published inFixed point theory and algorithms for sciences and engineering Vol. 2012; no. 1; pp. 1 - 11
Main Authors Espínola, Rafa, Lacruz, Miguel
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 30.10.2012
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Applications of Mathematics
Banach space
Differential Geometry
Existence theorems
Fixed points (mathematics)
Invariants
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Operators
Subspaces
Theorems
Topology
fixed point
invariant subspace
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Summary:We survey several applications of fixed point theorems in the theory of invariant subspaces. The general idea is that a fixed point theorem applied to a suitable map yields the existence of invariant subspaces for an operator on a Banach space. MSC: 47A15, 47H10.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1687-1812
1687-1820
1687-1812
2730-5422
DOI:10.1186/1687-1812-2012-197