Parallel Sum of Bounded Operators with Closed Ranges

Round 1

Reviewer 1 Report

Dear Author,

 

Please, find the comments in the attached file.

 

With my best regards,

Ali

Comments for author File: Comments.pdf

Dear Editors,

 

The quality of English language is pretty good.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

The paper basically deals with the parallel summability of two operators acting on infinite dimensional Hilbert space. The results seem to be true, however, there are not using the infinite dimensionality of the space. Furthermore, I have concerns about their novelty. In the last decade, a lot of papers are devoted to the problems considered in the paper which are nether not compared.  Moreover, it is requested to provide nontrivial examples (infinite dimensional ones) which satisfy the conditions of your theorems. Besides, discuss possible applications of the obtained results.

Therefore, the paper is not recommended to publish in its present form.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 3 Report

See the file below

Comments for author File: Comments.pdf

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 2 Report

In the revised version, the author tried to improve the presentation. However, still some moments need to be amended. 

1. Examples are not provided for which conditions of the main results should be satisfied: Theorem 2.4; Theorem 4.3.

 2. Compare the obtained results with existing ones;

Author Response

Dear reviewer,  thanks for your detailed comments.  Please see the attachment  for our response.

Author Response File: Author Response.pdf