On equivalent conditions of two sequences to be R-dual

Conditions for r-graphic sequences to be potentially K(r)m+1-graphic

Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames

In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the g-frame situation.

On the Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences

The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of...

On ∆-Asymptotically Statistical Equivalent Sequences

This paper presents new definitions which are a natural combination of the definition for asymptoticall equivalence and ∆−statistical convergence of sequences. Let θ = (k r) be a lacunary sequence. Then the sequences x and y are said to be [w] L θ,∆ −asymptotically equivalent of multiple L provided that for every ε > 0 lim r 1 h r k ∈ I r : t km (∆x k) t km (∆y k) − L ≥ ε = 0 .

iranian english learners’ perception and personality: a dual approach to investigating influential factors on willingness to communicate

abstract previous studies on willingness to communicate (wtc) have shown the influence of many individual or situational factors on students’ tendency to engage in classroom communication, in which wtc has been viewed either at the trait-level or situational level. however, due to the complexity of the notion of willingness to communicate, the present study suggests that these two strands are ...