Quasinilpotent Operators and the Invariant Subspace Problem | Zendy

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Quasinilpotent Operators and the Invariant Subspace Problem

Author(s) -

Read C. J.

Publication year - 1997

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610797005486

Subject(s) - linear subspace , invariant subspace , invariant (physics) , invariant subspace problem , subspace topology , mathematics , construct (python library) , simple (philosophy) , pure mathematics , banach space , algebra over a field , discrete mathematics , computer science , approximation property , epistemology , mathematical analysis , unbounded operator , philosophy , mathematical physics , programming language

In this paper we construct quasinilpotent operators without nontrivial invariant subspaces. As well as being interesting in its own right, we believe that this is a sensible (perhaps necessary) first step for addressing the difficult problem of constructing topologically simple Banach algebras.

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