On Reducibility And Quasireducibility Of Operators In Hilbert Spaces
Abstract
In this dissertation, we study invariant, reducing and hyp erinvariant
subspaces and how they play a key role in the study of reducibility and
quasireducibility of op erators. We also consider some equivalence relations
and characterize op erators in such equivalence relations and investigate
which of the equivalence relations preserve reducibility and
quasireducibility. The structure and relationship of invariant and
hyp erinvariant lattices for some classes of op erators are investigated. The
isomorphic lattices of similar and unitarily equivalent op erators are also
discussed.
Publisher
University of Nairobi