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An Operator Corona Theorem for Some Subspaces ofH∞

✍ Scribed by Amol Sasane


Book ID
105760422
Publisher
SP Birkhäuser Verlag Basel
Year
2007
Tongue
English
Weight
214 KB
Volume
59
Category
Article
ISSN
0378-620X

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Invariant Subspace Theorems for Positive
✍ Y.A. Abramovich; C.D. Aliprantis; O. Burkinshaw 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 665 KB

We establish new invariant subspace theorems for positive operators on Banach lattices. Here are three sample results. - If a quasinilpotent positive operator \(S\) dominates a non-zero compact operator \(K\) (i.e., \(|K x| \leqslant S|x|\) for each \(x\) ), then every positive operator that commute