INVARIANT SUBSPACES FOR POLYNOMIALLY COMPACT ALMOST SUPERDIAGONAL OPERATORS ON l(pi)
نویسنده
چکیده
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 τ(p i) is locally bounded. 1. Introduction. The purpose of this paper is to show that almost super-diagonal, polynomially compact operators on the sequence space l(p i) have nontrivial, closed invariant subspaces if the nonlocally convex linear topology τ(p i) is locally bounded. The proofs and arguments of this paper are stated within the framework of nonstandard analysis (see [4, Theorem 6.3 and Proposition 5.5]).
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