Abstract
In this paper, we introduce the notion of σ-symmetric amenability of Banach algebras and investigate some hereditary properties of them. We also apply our results to several abstract Segal algebras and group algebras.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12061018
Funding statement: This work is supported by the National Natural Science Foundation of China (No. 12061018).
Acknowledgements
The authors wish to thank anonymous reviewers for their constructive and valuable suggestions which have considerably improved the presentation of the paper.
References
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Articles in the same Issue
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- Fractional p-Laplacian elliptic Dirichlet problems
- Group invertibility of the sum in rings and its applications
- σ-symmetric amenability of Banach algebras
- Generalized Stockwell transforms: Spherical mean operators and applications
- Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions
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- Weak positive solutions to singular quasilinear elliptic equation
- Constructions and characterizations of mixed reverse-order laws for the Moore–Penrose inverse and group inverse
- Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions
- On the polar dualities and star dualities of the quasi Lp -intersection bodies
- New estimates for the Berezin number of Hilbert space operators
- Addendum to On Kuratowski partitions in the Marczewski and Laver structures and Ellentuck topology
Articles in the same Issue
- Frontmatter
- Fractional p-Laplacian elliptic Dirichlet problems
- Group invertibility of the sum in rings and its applications
- σ-symmetric amenability of Banach algebras
- Generalized Stockwell transforms: Spherical mean operators and applications
- Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions
- Capacity in Besov and Triebel–Lizorkin spaces with generalized smoothness
- Existence of solutions for (p(y),q(y))-Laplacian elliptic problem on an exterior domain
- Degeneration phenomenon in linear ordinary differential equations
- Weak type estimates of genuine Calderón–Zygmund operators on the local Morrey spaces associated with ball quasi-Banach function spaces
- Generalized derivation on semiprime and prime Banach algebras
- Weak positive solutions to singular quasilinear elliptic equation
- Constructions and characterizations of mixed reverse-order laws for the Moore–Penrose inverse and group inverse
- Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions
- On the polar dualities and star dualities of the quasi Lp -intersection bodies
- New estimates for the Berezin number of Hilbert space operators
- Addendum to On Kuratowski partitions in the Marczewski and Laver structures and Ellentuck topology