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Invariant subspaces for subscalar operators

✍ Scribed by Jörg Eschmeier

Book ID
112501930
Publisher
Springer
Year
1989
Tongue
English
Weight
374 KB
Volume
52
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

Invariant subspaces for tridiagonal oper
Invariant subspaces for tridiagonal operators
✍ 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

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✍ Kunyu Guo; Dechao Zheng 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 210 KB

In this paper, using the theory of Hilbert modules we study invariant subspaces of the Bergman spaces on bounded symmetric domains and quasi-invariant subspaces of the Segal-Bargmann spaces. We completely characterize small Hankel operators with finite rank on these spaces.