11 citations · 11 across the 3 of their papers we have counts for
3 papers
math.FA2011
On the fine spectrum of the second order difference operator over the sequence spaces \ell_p and bv_p, (1 < p < \infty)
Vatan Karakaya, Manaf Dzh. Manafov, Necip Simsek
In general, it is well known the behaviors of the symmetric tri-band matrices on the Hilbert spaces. But the symmetric tri-band matrices have different the behavior on the Banach s…
math.FA2011
On some properties of new paranormed sequence space of non-absolute type
Vatan Karakaya, Necip Simsek, Harun Polat
In this work, we introduce some new generalized sequence space related to the space l(p). Furthermore we investigate some topological properties as the completeness, the isomorphis…
math.FA2009★ 11 cited
Some Geometric and Topological Properties of a New Sequence Space Defined by De la Vallee-Poussin Mean
Necip Simsek, Ekrem Savas, Vatan Karakaya
The main purpose of this paper is to introduce a new sequence space by using de la Vallee-Poussin mean and investigate both the modular structure with some geometric properties and…