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- W2066741330 abstract "The concept of superdiagonal forms for n × n matrices T with complex entries has been extended by J. R. Ringrose [4] to the setting of compact linear operators T:X→X acting on a complex Banach space X . In a recent paper D. Koros [2] generalized Ringrose's approach to the case of compact linear operators T:X→X on a complex locally convex space X . The reason why both authors confine their attention to the class of compact linear operators is that the existence of proper closed invariant subspaces is, aside from Riesz-Schauder theory, the main tool in their construction. In the present paper it is shown that the existence of superdiagonal forms possesses a certain permanence property in the following sense." @default.
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- W2066741330 date "1985-01-01" @default.
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- W2066741330 title "Superdiagonal forms for related linear operators" @default.
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- W2066741330 doi "https://doi.org/10.1017/s0017089500005723" @default.
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