Some characterizations of inner product spaces based on angle

S.m.s. NABAVİ SALES

doi:https://doi.org/10.15672/hujms.574044

Makale detayları

Some characterizations of inner product spaces based on angle

Yazarlar:

S.m.s. NABAVİ SALES

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 3, pp.626-632

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451512

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.574044

Özet:

 

A problem in functional analysis that  arises naturally is about finding necessary and sufficient conditions for a normed space to be an inner product space. By answering this question, mathematicians try to understand the inner product and normed spaces features. In this note, we have discussed this issue and we prove some results concerned with it. We introduce a notion of angle between two vectors in a normed space, denoted by Aθ(.,.)Aθ(.,.)A_\theta(.,.) where θ≠kπ2θ≠kπ2\theta\neq{k\pi\over2}. We also speak about a notion of orthogonality concerning it, we call it θθ\theta-orthogonality.

Makale detayları

Some characterizations of inner product spaces based on angle

Yazarlar: S.m.s. NABAVİ SALES

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 3, pp.626-632

Belge Tipi: Makale

Yayın Tarihi: 6/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000451512

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.574044

Sayı

Yazarlar:

S.m.s. NABAVİ SALES

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 3, pp.626-632

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451512

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.574044