𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Remarks on invariant subspaces for finite dimensional operators

✍ Scribed by Sing-Cheong Ong

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
211 KB
Volume
42
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Invariant Subspaces for Semigroups of Al
Invariant Subspaces for Semigroups of Algebraic Operators
✍ Grega Cigler; Roman DrnovΕ‘ek; Damjana Kokol-BukovΕ‘ek; MatjaΕΎ Omladič; Thomas J. πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 239 KB

269 305) that a semigroup of matrices is triangularizable if the ranks of all the commutators of elements of the semigroup are at most 1. Our main theorem is an extension of this result to semigroups of algebraic operators on a Banach space. We also obtain a related theorem for a pair [A, B] of arbi

Invariant Subspace Theorems for Positive
Invariant Subspace Theorems for Positive Operators
✍ Y.A. Abramovich; C.D. Aliprantis; O. Burkinshaw πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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