Arens regularity of triangular Banach algebras related to homomorphisms

Subject Areas : Statistics

sara behnamian ¹ , amin mahmoodi ² , mohamad reza mardanbeigi ³

1 - Department of Pure Mathematics (Analysis), Faculty of Basic Science, Islamic Azad University, Science and Research Branch, Tehran, Iran
2 - Department of Pure Mathematics (Analysis), Faculty of Basic Science, Islamic Azad University, Science and Research Branch, Tehran, Iran
3 - Professor, Department of Pure Mathematics (Analysis), Faculty of Basic Science, Islamic Azad University, Science and Research Branch, Tehran, Iran

Received: 2019-03-05 Accepted : 2019-12-23 Published : 2020-10-22

Keywords: هسته توپولوژیکی, ضرب آرنز, جبر مثلثی, دوگان, آرنز- منظم بودن,

Abstract :

In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers .In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers .In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers .In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers .

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