7 citations · 13 across the 21 of their papers we have counts for
15 papers · 1 filter
Equality in Degrees of Compactness: Schauder's Theorem and s-numbers
Asuman Güven Aksoy, Daniel Akech Thiong
We investigate an extension of Schauder's theorem by studying the relationship between various -numbers of an operator and its adjoint . We have three main results. Fir…
Decomposable Blaschke products of degree
Asuman Güven Aksoy, Francesca Arici, M. Eugenia Celorrio +1
We study the decomposability of a finite Blaschke product of degree into degree- Blaschke products, examining the connections between Blaschke products, the ellipt…
Schauder's Theorem and s-Numbers
Asuman Guven Aksoy, Daniel Akech Thiong
Motivated by the well known theorem of Schauder, we study the relationship between various s-numbers of an operator T and its adjoint T* between Banach spaces.
Ideal of hypercyclic operators that factor through
Asuman Guven Aksoy, Yunied Puig
We study the injective and surjective hull of operator ideals generated by hypercyclic backward weighted shifts that factor through .
Extensions of Bernstein's Lethargy Theorem
Asuman Güven Aksoy
In this paper, we examine the aptly-named "Lethargy Theorem" of Bernstein and survey its recent extensions. We show that one of these extensions shrinks the interval for best appro…
Bernstein Lethargy Theorem and Reflexivity
Asuman Güven Aksoy, Qidi Peng
In this paper, we prove the equivalence of reflexive Banach spaces and those Banach spaces which satisfy the following form of Bernstein's Lethargy Theorem. Let be an arbitrary…