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- 2Strictly singular operators
- 1Almost invariant subspaces
- 1Banach spaces
- 1Domination problem
- 1Functional Analysis
- 1Innesential operator
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Spring 2011
The first part of the thesis studies invariant subspaces of strictly singular operators. By a celebrated result of Aronszajn and Smith, every compact operator has an invariant subspace. There are two classes of operators which are close to compact operators: strictly singular and finitely...
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Spring 2013
In this thesis we study operator ideals on ordered Banach spaces such as Banach lattices, $C^*$-algebras, and noncommutative function spaces. The first part of this work is concerned with the domination problem: the relationship between order and algebraic ideals of operators. Fremlin, Dodds and...
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