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A note on invariant subspaces of some operators
International Journal of Statistics and Applied Mathematics · 2021 · Vol. 6(1) · pp. 249–251
Irene Mumbua Muteti✉(University of Nairobi)Bernard Mutuku Nzimbi(University of Nairobi)Jairus M Khalagai(University of Nairobi)Stanley K. Imagiri(University of Nairobi)
Abstract
In this paper, we give a condition in which a paranormal operator T has invariant subspaces. We also show that a hyponormal operator T has an invariant subspace if it is complex symmetric.
Holomorphic and Operator TheoryAnalytic and geometric function theoryAlgebraic and Geometric AnalysisReflexive operator algebraLinear subspaceInvariant (physics)Invariant subspaceOperator (biology)MathematicsInvariant subspace problemSubspace topologyPure mathematicsAlgebra over a field
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References
Complex symmetric operators and applications
Transactions of the American Mathematical Society · 2005 · 488 citations
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