I. Deliyanni

activity

19922021

most citedBanach Spaces Of The Type Of Tsirelson

15 citations · 17 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2021

Topological and algebraic genericity and spaceability for an extended chain of sequence spaces

M. Axarlis, I. Deliyanni, Th. Loukidou +3

We examine topological and algebraic genericity and spaceability for any pair $(X, Y)$ , $X \subset Y$ , $X \neq = Y$ belonging to an extended chain of sequence spaces which contains the…

math.FA2009

Hereditarily Indecomposable Banach algebras of diagonal operators

Spiros A. Argyros, Irene Deliyanni, Andreas G. Tolias

We provide a characterization of the Banach spaces $X$ with a Schauder basis $(e_{n})_{n \in N}$ which have the property that the dual space $X^{*}$ is naturally isomorphic to t…

math.FA2008★ 2 cited

Strictly singular non-compact diagonal operators on HI spaces

Spiros A. Argyros, Irene Deliyanni, Andreas G. Tolias

We construct a Hereditarily Indecomposable Banach space $\eqs_d$ with a Schauder basis \seq{e}{n} on which there exist strictly singular non-compact diagonal operators. Moreover, t…

math.FA1997

Modified mixed Tsirelson spaces

Spiros A. Argyros, Irene Deliyanni, Denka Kutzarova +1

We study the modified and boundedly modified mixed Tsirelson spaces $T_{M} [(F_{k_{n}}, θ_{n})_{n = 1}^{\infty}]$ and $T_{M (s)} [(F_{k_{n}}, θ_{n})_{n = 1}^{\infty}]$ respectively, d…

math.FA1992★ 15 cited

Banach Spaces Of The Type Of Tsirelson

Spiros A. Argyros, Irene Deliyanni

To any pair ( M , theta ) where M is a family of finite subsets of N compact in the pointwise topology, and 0<theta < 1 , we associate a Tsirelson-type Banach space T_M^theta . It…

math.FA1992

Non dentable sets in Banach spaces with separable dual

Spiros A. Argyros, Irene Deliyanni

A non RNP Banach space E is constructed such that $E^{*}$ is separable and RNP is equivalent to PCP on the subsets of E.