Mathematical Analysis and its Contemporary Applications

A new version of the Hahn Banach theorem in b-Banach spaces

https://doi.org/10.30495/maca.2021.1929965.1011
Volume 3, Issue 3
Summer 2021
Pages 27-32
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Mohammad Reza Haddadi 1
Hossein Alaeidizaji 2
Vahid Parvaneh 3

1 Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran

2 Department of Mathematics, Payame Noor University, P.O. Box. 19395-3697, Tehran, Iran

3 Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

Abstract
In this paper, we introduce the notion of b-Banach spaces and we present some examples. Also, we give an important extension of the Hahn-Banach theorem in a $b$-Banach space with an application.

Keywords

b-normed space, b-Banach Space
Hahn-Banach theorem
  • Receive Date 07 May 2021
  • Revise Date 09 June 2021
  • Accept Date 10 June 2021

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