On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces

Abstract EN

The aim of this paper is to define the notions of ideal convergence, I -bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions.

We also define the notion of I * -convergence for double sequences in locally solid Riesz spaces and establish its relationship with ideal convergence.