Invariant subspaces of nilpotent operators and LR-sequences | Zendy

Wing Suet Li | Zendy; Vladim�r M�ller | Zendy

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Invariant subspaces of nilpotent operators and LR-sequences

Author(s) -

Wing Suet Li,

Vladim�r M�ller

Publication year - 1999

Publication title -

integral equations and operator theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.121

H-Index - 48

eISSN - 1420-8989

pISSN - 0378-620X

DOI - 10.1007/bf01236472

Subject(s) - linear subspace , mathematics , nilpotent , invariant (physics) , pure mathematics , reflexive operator algebra , similarity (geometry) , invariant subspace , operator (biology) , discrete mathematics , algebra over a field , artificial intelligence , computer science , compact operator , extension (predicate logic) , transcription factor , mathematical physics , gene , programming language , biochemistry , chemistry , image (mathematics) , repressor

The aim of this paper is to study systematically invariant subspaces of finitedimensional nilpotent operators. Our main motivation comes from classifying the similarity orbit in thelattice of invariant subspaces of a given nilpotent operator. We give a detailed study of the Littlewood-Richardson similarity orbit. We show that none of the “natural” similarity relations is equivalent with the others.

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