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- 4Banach spaces
- 2Operator theory
- 1Almost invariant subspaces
- 1Asymptotic expansions
- 1Banach Algebras
- 1Functional Analysis
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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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Fall 2013
A Gelfand theory for an arbitrary Banach algebra A is a pair (G;A), such that: A is a C-algebra and G : A ! A is an algebra homomorphism; G induces a bijection between the set of maximal modular left ideals of A and the set of maximal modular left ideals of A; and for every maximal modular left...
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