Browsing by Subject "Invariant subspace"
Now showing items 1-3 of 3
(SP Birkhäuser Verlag Basel, 2008-05)In this paper, we first give some invariant subspace results for collectively compact sets of operators in connection with the joint spectral radius of these sets. We then prove that any collectively compact set M in algΓ ...
(2009)By slightly modifying some of the examples given in , we obtain further examples of positive operators on the discrete Banach lattices c0, c, and `p (1 ≤ p < ∞) without non-trivial closed invariant sublattices.
(Institution Of Russian Academy Of Sciences South Mathematical İnstitute Of Vladikavkaz Scientific Center Of The Russian Academy Of Sciences And The Government Of Republic Of North Ossetia-Alania, 22, Markusa Street, Vladikavkaz, 362027, 2009)We introduce weak compact-friendliness as an extension of compact-friendliness, and and prove that if a non-zero weakly compact-friendly operator B: E→ E on a Banach lattice is quasi-nilpotent at some non-zero positive ...