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

Grainger, Arthur D.

Int. J. Math. Math. Sci. 2003, No. 31, 1961-1971 (2003).

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