Weak amenability of tensor products related to homomorphisms

Subject Areas : Statistics

Esmat Ghoraishi ¹ , Amin Mahmoodi ²

1 - Department of Mathematics,Faculty of Basic Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran
2 - Department of Mathematics, Faculty of Basic Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran

Received: 2019-11-09 Accepted : 2020-02-27 Published : 2021-05-22

Keywords: −𝜎 اشتقاق, −𝜎 قطر تقریبی کراندار, ضرب تانسوری, −𝜎 میانگین پذیر ضعیف,

Abstract :

We study the relation between homomorphisms of Banach algebras A and B with that of 𝒜⊗̂ ℬ. Then, we investigate 𝜎− weak amenability of (𝒜⊗̂ ℬ).We study the relation between homomorphisms of Banach algebras A and B with that of 𝒜⊗̂ ℬ. Then, we investigate 𝜎− weak amenability of (𝒜⊗̂ ℬ).We study the relation between homomorphisms of Banach algebras A and B with that of 𝒜⊗̂ ℬ. Then, we investigate 𝜎− weak amenability of (𝒜⊗̂ ℬ).We study the relation between homomorphisms of Banach algebras A and B with that of 𝒜⊗̂ ℬ. Then, we investigate 𝜎− weak amenability of (𝒜⊗̂ ℬ).We study the relation between homomorphisms of Banach algebras A and B with that of 𝒜⊗̂ ℬ. Then, we investigate 𝜎− weak amenability of (𝒜⊗̂ ℬ).We study the relation between homomorphisms of Banach algebras A and B with that of 𝒜⊗̂ ℬ. Then, we investigate 𝜎− weak amenability of (𝒜⊗̂ ℬ).

References:

[1] F. F. Bonsall, Duncan, Complete normed Algebras, Springer-Verlag, New York, 1973.

 

[2] H. D. Dales, Banach Algebras and Automatic continuity, London Mathematical Society Monographs, 24, Clarendon press, Oxford, 2000.

 

[3] S. Ghoraishi, A. Mahmoodi, A. R. Medghalchi, Amenability-like properties of ,  Filomat. 32, no 8, (2018), 2701-2706.

 

[4] B. E. Johnson, Cohomology in Banach Algebras.Mem. Amer. Math. Soc. 127, 1972.

 

[5] M. Mirzavaziri, M. S. Moslehian, -Derivations in Banach algebras, Bull. Iranian Math. Soc. 32 (1) (2006), 65-78.

 

[6] M. Mirzavaziri, M. S. Moslehian, -amenability of Banach algebras,Southeast Asian Bull. Math. 33 (2009), 89-99.

 

[7] T. Yazdanpanah, I. Moazzami Zadeh, -weak Amenability of Banach Algebras.Int. J. Nonlinear Anal. Appl. 4, no. 1, (2013), 66-73.

 

[8] T. Yazdanpanah, Weak amenability of tensor product of Banach algebras, The Publishing House Of The Romanian Academy 13, no. 4, (2012), 310-313.

 

[9] M. Ziamanesh, B. Shojaee, A. Mahmoodi, Essential amenability of dual Banach algebras, Bull. Aust. Math. Soc., 100,(2019), 479-488