## 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

### Keywords:

nonstandard analysis; invariant subspaces
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