Abstract
Let E be an order complete Banach function lattice and T a positive, eventually compact, order continuous operator on E. We study necessary conditions under which the peripheral spectrum of T is fully cyclic in terms of certain bands of the underlying Banach function lattice E. A set of sufficient conditions is also given. Examples are presented to demonstrate our methods.
Original language | English |
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Pages (from-to) | 119-130 |
Number of pages | 12 |
Journal | Positivity |
Volume | 4 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2000 |
Keywords
- Order continuous
- Perron-Frobenius theory
- Principal T-band