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A theorem of Cartwright

✍ Scribed by Boas, Jr., R. P.; Schaeffer, A. C.

Book ID
124057196
Publisher
Duke University Press
Year
1942
Tongue
English
Weight
297 KB
Volume
9
Category
Article
ISSN
0012-7094

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πŸ“œ SIMILAR VOLUMES

Completely Indecomposable Operators and
Completely Indecomposable Operators and a Uniqueness Theorem of Cartwright–Levinson Type
✍ A. Atzmon; M. Sodin πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 224 KB

A bounded linear operator T on a complex Hilbert space will be called completely indecomposable if its spectrum is not a singleton, and is included in the spectrum of the restrictions of T and T \* to any of their nonzero invariant subspaces. Two classes of completely indecomposable operators are co

Completely Indecomposable Operators and
Completely Indecomposable Operators and a Uniqueness Theorem of Cartwright–Levinson Type: Addendum to
✍ A. Atzmon; M. Sodin πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 72 KB

The purpose of this note is to show that the answers to Problems 2, 3, and 5 in [1] are positive, even under weaker assumptions. Keeping the notations of [1], we have Theorem 1. If : is a positive sequence on Z + which converges to a nonzero limit, then the operator A(:) has a proper invariant subsp