# Kafes Normlu Riesz Cebirleri Üzerindeki Operatörler İçin Hahn-Banach Teoremi

X ve E Riesz cebirleri ve p:X →E_+ monoton bir vektör normu olsun. Böylece (X,p,E) üçlüsü kafes normlu Riesz cebiri olarak adlandırılır. Bu çalışmada, Hahn-Banach teoreminin kafes normlu Riesz cebirlerindeki operatörler için genişletilmesini vereceğiz. Fakat bu çalışmadaki genişleme diğer Hahn-Banach teoremlerinden farlı olmaktadır. Ayrıca bu genişlemenin bazı sonuçlarının olduğunu göstermeketeyiz.
Anahtar Kelimeler:

# Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras

Let X and E be Riesz algebras and p:X →E_+ be a monotone vector norm. Then the triple (X,p,E) is called lattice normed Riesz algebra. In this paper, we prove a generalization of the extension of the Hahn-Banach theorem for operators on the lattice normed Riesz algebras, in which the extension of one-step of that is not similar to the other Hahn-Banach theorems. In addition, we give some applications and results.
Keywords:

## Hahn-Banach theorem, Lattice normed space, Riesz algebra, Riesz apaces,

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 Bibtex @araştırma makalesi { msufbd727916, journal = {Muş Alparslan Üniversitesi Fen Bilimleri Dergisi}, issn = {2147-7930}, eissn = {2149-6455}, address = {}, publisher = {Muş Alparslan Üniversitesi}, year = {2020}, volume = {8}, number = {1}, pages = {737 - 741}, title = {Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras}, key = {cite}, author = {Aydın, Abdullah} } APA Aydın, A. (2020). Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras . Muş Alparslan Üniversitesi Fen Bilimleri Dergisi , 8 (1) , 737-741 . MLA Aydın, A. "Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras" . Muş Alparslan Üniversitesi Fen Bilimleri Dergisi 8 (2020 ): 737-741 < Chicago Aydın, A. "Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras". Muş Alparslan Üniversitesi Fen Bilimleri Dergisi 8 (2020 ): 737-741 RIS TY - JOUR T1 - Kafes Normlu Riesz Cebirleri Üzerindeki Operatörler İçin Hahn-Banach Teoremi AU - AbdullahAydın Y1 - 2020 PY - 2020 N1 - DO - T2 - Muş Alparslan Üniversitesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 737 EP - 741 VL - 8 IS - 1 SN - 2147-7930-2149-6455 M3 - UR - Y2 - 2020 ER - EndNote %0 Muş Alparslan Üniversitesi Fen Bilimleri Dergisi Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras %A Abdullah Aydın %T Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras %D 2020 %J Muş Alparslan Üniversitesi Fen Bilimleri Dergisi %P 2147-7930-2149-6455 %V 8 %N 1 %R %U ISNAD Aydın, Abdullah . "Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras". Muş Alparslan Üniversitesi Fen Bilimleri Dergisi 8 / 1 (Haziran 2020): 737-741 . AMA Aydın A. Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras. MAUN Fen Bil. Dergi.. 2020; 8(1): 737-741. Vancouver Aydın A. Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras. Muş Alparslan Üniversitesi Fen Bilimleri Dergisi. 2020; 8(1): 737-741. IEEE A. Aydın , "Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras", , c. 8, sayı. 1, ss. 737-741, Haz. 2020