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Subject: Functional Analysis Subject: Strictly singular operators Collections: Graduate and Postdoctoral Studies (GPS), Faculty of

  • Locally Piecewise Affine Functions

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    Spring 2015

    Adeeb, Samer

    Piecewise affine functions as defined by Aliprantis and Tourky and denoted by the set S are those functions in C(R^m) that agree with a finite number of affine functions. In this thesis, we extend their study by introducing the set of locally piecewise affine functions denoted by S_lp. Unlike...

  • Invariant subspaces of certain classes of operators

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    Spring 2011

    Popov, Alexey

    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...

  • "Operator ideals on ordered Banach spaces"

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    Spring 2013

    Spinu, Eugeniu

    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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