Date of Award
Doctor of Philosophy
An important problem in Banach space theory since the 1950s has been the study of the structure of closed algebraic ideals in the algebra L (X ) where X is a Banach space.The Banach spaces X for which that structure is well-known are very few. It is known that every non-zero ideal in L (X ) contains the ideal of all finite-rank operators on X and that if X has a Schauder basis every non-zero closed ideal in L (X ) contains the ideal of all compact operators on X.In this dissertation I study the structure of the space (l_q)_c_0, for 1 < q < and I find the unique proper maximal ideal in the algebra L((l_q)_c_0).Let T be a bounded linear operator on X=(l_q)_c_0 with 1
Dissertation or thesis originally submitted to ProQuest
Calle Cadavid, Diego, "UNIQUE MAXIMAL IDEAL IN THE ALGEBRA L (( l_q)_c_0 ) WITH 1 < q " (2020). Electronic Theses and Dissertations. 2486.