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Invariant subspaces for tightly clustered eigenvalues of tridiagonals

โœ Scribed by B. N. Parlett


Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
822 KB
Volume
36
Category
Article
ISSN
0006-3835

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Invariant subspaces for tridiagonal oper
โœ Sophie Grivaux ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ French โš– 113 KB

We consider certain complex sequence spaces X indexed by N with the canonical basis (ฮด n ) n 1 . Let T โˆˆ 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