Unicellular operators

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Unicellular Operators

An operator is unicellular if its lattice of invariant subspaces is totally ordered by inclusion. The list of nests which are known to be the set of invariant subspaces of a unicellular operator is surprisingly short. We construct unicellular operators on lp, 1 ^ p < oo, and on c0 with lattices isomorphic to a + X + ß* where a and ß are countable (finite or zero) ordinals, and X is in this shor...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1984

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1984-0742423-2