More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism
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Mohammad Ramezanpour
Abstract
For two Banach algebras A and B, the T-Lau product A×TB, was recently introduced and studied for some bounded homomorphism T : B → A with ∥T∥ ≤ 1. Here, we give general nessesary and sufficent conditions for A×TB to be (approximately) cyclic amenable. In particular, we extend some recent results on (approximate) cyclic amenability of direct product A ⊕ B and T-Lau product A×TB and answer a question on cyclic amenability of A×TB.
Acknowledgement
The author would like to thanks the referee for his/her useful comments and suggestions.
References
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Articles in the same Issue
- On the number of cycles in a graph
- Characterization of posets for order-convergence being topological
- Classification of posets using zero-divisor graphs
- On a generalized concept of order relations on B(H)
- A study of stabilizers in triangle algebras
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- Codensity and stone spaces
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- Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
- Starlike and convex functions with respect to symmetric conjugate points involving conical domain
- Summations of Schlömilch series containing anger function terms
- Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals
- Nuclear operators on Cb(X, E) and the strict topology
- More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism
- Matrix generalized (θ, ϕ)-derivations on matrix Banach algebras
- Nonlinear ∗-Jordan triple derivations on von Neumann algebras
- Addendum to “A sequential implicit function theorem for the chords iteration”, Math. Slovaca 63(5) (2013), 1085–1100
- Comparison of density topologies on the real line
- Rational homotopy of maps between certain complex Grassmann manifolds
- Examples of random fields that can be represented as space-domain scaled stationary Ornstein-Uhlenbeck fields
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