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Common invariant subspaces for collections of operators

✍ Scribed by Roman Drnovšek


Publisher
SP Birkhäuser Verlag Basel
Year
2001
Tongue
English
Weight
726 KB
Volume
39
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES


Invariant subspaces for tridiagonal oper
✍ Sophie Grivaux 📂 Article 📅 2002 🏛 Elsevier Science 🌐 French ⚖ 113 KB

We consider certain complex sequence spaces X indexed by N with the canonical basis (δ n ) n 1 . Let T ∈ L(X) be a tridiagonal operator on X. Assume that the associated matrix (t i,j ) i,j 1 has real entries and satisfies the weak symmetry condition that for every integer n 1, t n,n+1 t n+1,n 0. The