Banach algebras generated by an invertible isometry of an $L^p$-space

@article{Gardella2015BanachAG,
  title={Banach algebras generated by an invertible isometry of an \$L^p\$-space},
  author={Eusebio Gardella and Hannes Thiel},
  journal={Journal of Functional Analysis},
  year={2015},
  volume={269},
  pages={1796-1839}
}
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12 Citations
Background Citations
2
Methods Citations
2

12 Citations

Functoriality of group algebras acting on $L^p$-spaces
We continue our study of group algebras acting on $L^p$-spaces, particularly of algebras of $p$-pseudofunctions of locally compact groups. We focus on the functoriality properties of these objects.…
Extending representations of Banach algebras to their biduals
We show that a representation of a Banach algebra A on a Banach space X can be extended to a canonical representation of $$A^{**}$$ A ∗ ∗ on X if and only if certain orbit maps $$A\rightarrow X$$ A →…
A modern look at algebras of operators on Lp-spaces
Rigidity results for $L^p$-operator algebras and applications
For $p\in [1,\infty)$, we show that every unital $L^p$-operator algebra contains a unique maximal $C^*$-subalgebra, which we call the $C^*$-core. When $p\neq 2$, the $C^*$-core of an $L^p$-operator…
Quotients of Banach algebras acting on Lp-spaces
Representations of $p$-convolution algebras on $L^q$-spaces
For a nontrivial locally compact group $G$, and $p\in [1,\infty)$, consider the Banach algebras of $p$-pseudofunctions, $p$-pseudomeasures, $p$-convolvers, and the full group $L^p$-operator algebra.…
Algebraic and invariance properties of the group of isometries
Lp-operator algebras with approximate identities, I
We initiate an investigation into how much the existing theory of (nonselfadjoint) operator algebras on a Hilbert space generalizes to algebras acting on L^p spaces. In particular we investigate the…
Group Algebras Acting on $$L^p$$Lp-Spaces
For $$p\in [1,\infty )$$p∈[1,∞) we study representations of a locally compact group $$G$$G on $$L^p$$Lp-spaces and $$\textit{QSL}^p$$QSLp-spaces. The universal completions $$F^p(G)$$Fp(G) and…
Gelfand theory of reduced group $$L^{p}$$-operator algebra
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