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387194

A new 2-inner product on the space of p -summable sequences

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Last updated: 05 Jan 2025

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Abstract

In this paper, we wish to define a 2-inner product, non-standard, possibly with weights,
on  p . For this purpose, we aim to obtain a different 2-norm  ., .  2, v , w , which is not equivalent to
the usual 2-norm  ., .  p on  p (except with the condition p = 2 ), satisfying the parallelogram law. We
discuss the properties of the induced 2-norm  ., .  2, v , w and its relationships with the usual 2-norm on
 p . We also find that the 2-inner product  ., .|.  v , w is actually defined on a larger space.

DOI

10.1016/j.joems.2015.07.001

Keywords

2-inner product spaces, 2-normed spaces, p -summable sequences, Weights

Authors

First Name

Sükran

Last Name

Konca

MiddleName

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Affiliation

Department of Mathematics, Bitlis Eren University, 13000, Bitlis, Turkey

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Orcid

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First Name

Mochammad

Last Name

Idris

MiddleName

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Affiliation

Department of Mathematics, Institute of Technology Bandung, Bandung 40132, Indonesia

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Orcid

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First Name

Hendra

Last Name

Gunawan

MiddleName

-

Affiliation

Department of Mathematics, Institute of Technology Bandung, Bandung 40132, Indonesia

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Volume

24

Article Issue

2

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

240

Page End

249

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 2_Pages 240-249.pdf

PDF . 384.8kB

Link

https://joems.journals.ekb.eg/article_387194.html

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https://joems.journals.ekb.eg/service?article_code=387194

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387,194

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

A new 2-inner product on the space of p -summable sequences

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Article

Created At

21 Dec 2024