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On equality of invariant subspace lattices of operators

✍ Scribed by Sing-Cheong Ong


Book ID
107826413
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
306 KB
Volume
144
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


General preservers of invariant subspace
✍ Gregor Dolinar; Shuanping Du; Jinchuan Hou; Peter LegiΕ a πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 139 KB

Let B(X) be the space of all bounded linear operators on a Banach space X and let LatA be the lattice of invariant subspaces of the operator A ∈ B(X). We characterize some maps : B(X) β†’ B(X) with one of the following preserving properties: Lat( (A) + (B)) = Lat(A + B), or Lat( (A) (B)) = Lat(AB), or