TY - JOUR ID - 683277 TI - A new version of the Hahn Banach theorem in b-Banach spaces JO - Mathematical Analysis and its Contemporary Applications JA - MACA LA - en SN - AU - Haddadi, Mohammad Reza AU - Alaeidizaji, Hossein AU - Parvaneh, Vahid AD - Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran AD - Department of Mathematics, Payame Noor University, P.O. Box. 19395-3697, Tehran, Iran AD - Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran Y1 - 2021 PY - 2021 VL - 3 IS - 3 SP - 27 EP - 32 KW - b-normed space, b-Banach Space KW - Hahn-Banach theorem DO - 10.30495/maca.2021.1929965.1011 N2 - 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. UR - https://www.macajournal.com/article_683277.html L1 - https://www.macajournal.com/article_683277_e52ef706cb1063158527a9ebec809845.pdf ER -