Similarity of C1: Operators and the Hyperinvariant Subspace Problem
Copyright policy )Similarity of C1: Operators and the Hyperinvariant Subspace Problem
In the present paper, we first show that the existence of the solutions of the operator equation S∗XT=X is related to the similarity of operators of class C1., and then we give a sufficient condition for the existence of nontrivial hyperinvariant subspaces. These subspaces are the closure of ranφT for some singular inner functions φ. As an application, we prove that every C10-quasinormal operator and C10-centered operator, under suitable conditions, have nontrivial hyperinvariant subspaces.
- Al Jouf University Saudi Arabia
- Université Mustapha Stambouli de Mascara Algeria
- King Khalid University Saudi Arabia
Deformations and Structures of Hom-Lie Algebras, Subordination, Operator (biology), Biochemistry, Gene, QA1-939, FOS: Mathematics, Complex Analysis and Operator Theory, Operator Theory, Algebra over a field, Algebra and Number Theory, Linear subspace, Applied Mathematics, Geometric Function Theory and Complex Analysis, Pure mathematics, Quasiconformal Mappings, Discrete mathematics, Chemistry, Hypercyclic Operators, Weighted Spaces, Combinatorics, Physical Sciences, Repressor, Geometry and Topology, Transcription factor, Mathematics
Deformations and Structures of Hom-Lie Algebras, Subordination, Operator (biology), Biochemistry, Gene, QA1-939, FOS: Mathematics, Complex Analysis and Operator Theory, Operator Theory, Algebra over a field, Algebra and Number Theory, Linear subspace, Applied Mathematics, Geometric Function Theory and Complex Analysis, Pure mathematics, Quasiconformal Mappings, Discrete mathematics, Chemistry, Hypercyclic Operators, Weighted Spaces, Combinatorics, Physical Sciences, Repressor, Geometry and Topology, Transcription factor, Mathematics
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