Browder Riesz-Schauder theory for polynomially finite rank linear relations
We describe the Browder Riesz-Schauder theory of compact operators in Banach spaces in the context of polynomially finite rank linear relations in Banach spaces.
Factoring Rosenthal operators.
In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l.
Ultraweakly compact operators and dual spaces
In this paper, the class of all bounded ultraweakly compact operators in Banach spaces is introduced and characterised in terms of their first and second conjugates. We analize the relationship between an ultraweakly compact operator and its conjugate. Examples of operators belonging to this class are exhibited. We also investigate the connection between ultraweak compactness of and minimal subspaces of and we present a result of factorisation for ultraweakly compact operators.
A characterization of some subsets of S-essential spectra of a multivalued linear operator
We characterize some S-essential spectra of a closed linear relation in terms of certain linear relations of semi-Fredholm type.
Examples of tauberian operators
Rosenthal and semi-Tauberian linear relations in normed spaces
The class of Rosenthal linear relations in normed spaces is introduced and studied in terms of their first and second conjugates. We investigate the relationship between a Rosenthal linear relation and its conjugate. In this paper, we also study the semi-Tauberian linear relations following the pattern followed for the study of the Tauberian linear relations. We prove that the semi-Tauberian linear relations share some of the properties of Tauberian linear relations and they are related to Rosenthal...
Gap and perturbation of non-semi-Fredholm operators.
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