New Results on the SSIE with an Operator of the form FΔ ⊂ Ɛ + Involving the Spaces of Strongly Summable and Convergent Sequences Using the Cesàro Method
Round 1
Reviewer 1 Report
The solvability of the sequence spaces inclusion equations (SSIE) of the form $F_\Delta\subset{\mathcal E}+F'_x$ is studied, where $F_\Delta$ is a difference sequence space $c_\Delta$, $(c_0)_\Delta$, $(l_\infty)_\Delta$, $w_\Delta$, $(w_0)_\Delta$, or $(w_\infty)_\Delta$; $F'$ is a sequence space $c$, $c_0$, or $l_\infty$. (Symbol $w$ is associated with spaces of convergent sequences by the Cesaro method). I have two amendments to the text of the work.
1. Abstract, line 7. It must be "were used"{} instead of "where used"{}.
2. Page 5, Lemma 5. The reference is not defined.
In general, the work contains a series of new results and is worthy of publication.
Author Response
Dear editor,
I have done the two corrections, as follows,
I have changed "where" in "were" in the abstract.
The I have added the reference "de Malafosse B., Rakocevic, V., Matrix transformations and sequences spaces equations. Banach J. Math. Anal. 7 (2)(2013), 1-14
Author Response File: Author Response.pdf
Reviewer 2 Report
The paper is interesting, provides a useful contribution to its area of research. A lot of interesting examples are presented in the manuscript.
The author has to make improvements
The last chapter is the CONCLUSION section where the results are presented. The Results and the Conclusion are at the end of the paper.
Author Response
Dear reviewer,
I thank you for your review.
With kind regards.
B de Malafosse
Author Response File: Author Response.pdf