Arthur D. Grainger
Abstract
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It is shown that almost superdiagonal, polynomially compact operators on the sequence space l(pi) have nontrivial, closed invariant subspaces if the nonlocally convex linear topology τ(pi) is locally bounded.
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It is shown that almost superdiagonal, polynomially compact operators on the sequence space l(pi) have nontrivial, closed invariant subspaces if the nonlocally convex linear topology τ(pi) is locally bounded.
Key concepts: Mathematics, Linear subspace, Invariant (physics), Bounded function, Regular polygon, Compact space, Discrete mathematics, Sequence (biology)