Quotients of Banach algebras acting on Lp-spaces

  title={Quotients of Banach algebras acting on Lp-spaces},
  author={Eusebio Gardella and Hannes Thiel},
  journal={Advances in Mathematics},

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

Quantitative K-theory for Banach algebras

Lp-operator algebras associated with oriented graphs

For each 1⩽p<∞ and each countable oriented graph Q we introduce an Lp-operator algebra Op(Q), which contains the Leavitt path C-algebra LQ as a dense subalgebra, and is universal for those

A modern look at algebras of operators on Lp-spaces

Quantitative K-theory for Banach Algebras and Its Applications

This dissertation can be said to fall under the broad theme of computability ofK-theory of Lp operator algebras (and perhaps more general Banach algebras). The first part of the dissertation is about

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 →

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.

Isomorphisms of Algebras of Convolution Operators

For $p,q\in [1,\infty)$, we study the isomorphism problem for the $p$- and $q$-convolution algebras associated to locally compact groups. While it is well known that not every group can be recovered



Representation of a quotient of a subalgebra of B(X)

  • C. L. Merdy
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1996
Abstract Let X be an SQp-space, i.e. a quotient of a subspace of some Lp-space. Let B ⊂ B(X) be a subalgebra of all bounded operators on X and let I ⊂ B be a closed ideal. We show that the quotient

Remarks on contractive projections in Lp-spaces

The aim of this note is to study the structure of the range of a contractive projection in a non-separableLp-space; 1≦p<+∞.

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.

Crossed products of $L^p$ operator algebras and the K-theory of Cuntz algebras on $L^p$ spaces

For $p \in [1, \infty),$ we define and study full and reduced crossed products of algebras of operators on $\sigma$-finite $L^p$ spaces by isometric actions of second countable locally compact

Analogs of Cuntz algebras on Lp spaces

For $d = 2, 3, \ldots$ and $p \in [1, \infty),$ we define a class of representations $\rho$ of the Leavitt algebra $L_d$ on spaces of the form $L^p (X, \mu),$ which we call the spatial

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

Harmonic synthesis for subgroups

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