323 citations
- Claremont Graduate UniversityUS16 papers
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7 papers · 1 filter
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 .
On a theorem of Terzioğlu
Asuman Guven Aksoy
The theory of compact linear operators acting on a Banach space has such a classical core and is familiar to many. Perhaps lesser known is the characterization theorem of Terzioğlu…
Subspace Condition for Bernstein's Lethargy Theorem
Asuman GÜven Aksoy, Monairah Al-Ansari, Caleb Case +1
In this paper, we consider a condition on subspaces in order to improve bounds given in the Bernstein's Lethargy Theorem (BLT) for Banach spaces. Let $d_1 \geq d_2 \geq \dots d_n \…
Constructing an Element of a Banach Space with Given Deviation from its Nested Subspaces
Asuman G. Aksoy, Qidi Peng
This paper contains two improvements on a theorem of S. N. Bernstein for Banach spaces. We show that if is an arbitrary infinite-dimensional Banach space, is a sequen…
Bernstein's Lethargy Theorem in Frechet Spaces
Asuman Guven Aksoy, Grzegorz Lewicki
In this paper we consider Bernstein's Lethargy Theorem (BLT) in the context of Fréchet spaces. Let be an infinite-dimensional Fréchet space and let be a n…
Minimal projections with respect to various norms
Asuman Guven Aksoy, Grzegorz Lewicki
We will show that a theorem of Rudin \cite{wr1}, \cite{wr}, permits us to determine minimal projections not only with respect to the operator norm but with respect to quasi-norms i…