Lomonosov's Invariant Subspace Theorem for Multivalued Linear Operators

Details Lomonosov's Invariant Subspace Theorem for Multivalued Linear Operators Lomonosov's Invariant Subspace Theorem for Multivalued Linear Operators

2000-08-29

arxiv.org/abs/math/0008214v1

Proc. Amer. Math. Soc. 131 (2003), 825-834

Mathematics

Functional Analysis

10 pages

Scientific paper

The famous Lomonosov's invariant subspace theorem states that if a continuous
linear operator T on an infinite-dimensional normed space E "commutes" with a
compact nonzero operator K, i.e., TK=KT, then T has a non-trivial closed
invariant subspace. We generalize this theorem for multivalued linear
operators.

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