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Invariant subspaces for polynomially compact almost superdiagonal operators on \(l(p_{i})\). (English) Zbl 1026.46068

Summary: It is shown that almost superdiagonal, polynomially compact operators on the sequence space \(l(p_{i})\) have nontrivial, closed invariant subspaces if the nonlocally convex linear topology \(\tau(p_{i})\) is locally bounded.

MSC:

46S20 Nonstandard functional analysis
03H05 Nonstandard models in mathematics
47A15 Invariant subspaces of linear operators
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