Some open problems and conjectures associated with the invariant subspace problem
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Publication:850568
DOI10.1007/s11117-004-3786-9zbMath1099.47002OpenAlexW2009188375WikidataQ123137592 ScholiaQ123137592MaRDI QIDQ850568
Publication date: 3 November 2006
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-004-3786-9
Normed linear spaces and Banach spaces; Banach lattices (46B99) Invariant subspaces of linear operators (47A15) Operator ideals (47L20) Linear operators in algebras (47C05)
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Cites Work
- Unnamed Item
- An extension of Burnside's theorem to infinite-dimensional spaces
- On the modulus of C. J. Read's operator
- Invariant subspaces of operators on \(\ell_ p\)-spaces
- Invariant subspace theorems for positive operators
- A density theorem for operator algebras
- The uniqueness of norm problem in Banach algebras
- A Solution to the Invariant Subspace Problem on the Space l 1
- A Short Proof Concerning the Invariant Subspace Problem
- Lomonosov's hyperinvariant subspace theorem for real spaces
- A version of the Lomonosov invariant subspace theorem for real Banach spaces
- Subspaces of $L_p$ with more than one complex structure
- An Elementary Example of a Banach Space not Isomorphic to its Complex Conjugate
- An Extension of Lomonosov’s Techniques to Non-compact Operators
- Additive Groups and Linear Manifolds of Transformations Between Banach Spaces
