Some notes on the space of p-summable sequences

Sukran Konca

Article Details

Some notes on the space of p-summable sequences

Authors:

Sukran Konca

Publisher:

Kuwait University

Journal:

Kuwait Journal of Science Vol.45 Issue 3, pp.0-0

Document Type:

Article

Publication Date:

8/2018

Document Language:

English

Document ID (Org No.):

2001942922

pISSN:

2307-4116

Keywords:

Abstract:

 Recently, Konca et al. (2015a) have revisited the space p of p -summable sequences of realnumbers and have shown that this space is actually contained in a weighted inner product space called 2 v . In another paper, Konca et al. (2015b) have investigated the space p to show that it is also contained in a weighted 2-inner product space. In this work, we show in the details that p is dense in 2 v as a normed space, and as a 2-normed space. Further, we prove that 2 v is separable and conclude that it is isometric to the completion of p .

Article Details

Some notes on the space of p-summable sequences

Authors:

Sukran Konca

Publisher:

Kuwait University

Journal:

Kuwait Journal of Science Vol.45 Issue 3, pp.0-0

Document Type:

Article

Publication Date:

8/2018

Document Language:

English

Document ID (Org No.):

2001942922

pISSN:

2307-4116

Completion

dense

isometric

separable

the space of p-summable sequences

Issues

Article Details

Some notes on the space of p-summable sequences

Authors: Sukran Konca

Publisher: Kuwait University

Journal: Kuwait Journal of Science Vol.45 Issue 3, pp.0-0

Document Type: Article

Publication Date: 8/2018

Document Language: English

Document ID (Org No.): 2001942922

pISSN: 2307-4116

Completion

dense

isometric

separable

the space of p-summable sequences

Issues

Authors:

Sukran Konca

Publisher:

Kuwait University

Journal:

Kuwait Journal of Science Vol.45 Issue 3, pp.0-0

Document Type:

Article

Publication Date:

8/2018

Document Language:

English

Document ID (Org No.):

2001942922

pISSN:

2307-4116