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Publications Influence

Weak amenability of triangular Banach algebras

- B. Forrest, L. Marcoux, L. Marcoux
- Mathematics
- 4 December 2001

Let A and B be unital Banach algebras, and let M be a Banach A, B-module. Then T = [ A M 0 B ] becomes a triangular Banach algebra when equipped with the Banach space norm || [ a m 0 b ] || = ||a|| A… Expand

34 3- PDF

On the linear span of the projections in certain simple C*-algebras

- L. Marcoux
- Mathematics
- 2002

In this paper we show that if a C*-algebra A admits a certain 3 × 3 matrix decomposition, then every commutator in A can be written as a linear combination of at most 84 projections in A. In certain… Expand

24 3

LIE ISOMORPHISMS OF NEST ALGEBRAS

- L. Marcoux, A. Sourour
- Mathematics
- 10 May 1999

Abstract In this paper we characterize linear maps ϕ between two nest algebras T ( N ) and T ( M ) which satisfy the property that ϕ ( AB − BA )= ϕ ( A ) ϕ ( B )− ϕ ( B ) ϕ ( A ) for all A , B ∈ T… Expand

37 3- PDF

Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras

- L. Marcoux, A. Sourour
- Mathematics
- 1 February 1999

Abstract In this article we classify linear maps ϕ from the algebra T n of n × ? upper triangular matrices into itself satisfying ϕ(ab − ba) = 0 if and only if ab − ba = 0. In particular, we show… Expand

45 2

Abelian, amenable operator algebras are similar to C∗ -algebras

- L. Marcoux, Alexey I. Popov
- Mathematics
- 12 November 2013

Suppose that H is a complex Hilbert space and that B(H) denotes the bounded linear operators on H. We show that every abelian, amenable operator algebra is similar to a C*-algebra. We do this by… Expand

9 2- PDF

CONJUGATION-INVARIANT SUBSPACES AND LIE IDEALS IN NON-SELFADJOINT OPERATOR ALGEBRAS

- L. Marcoux, A. Sourour
- Mathematics
- 1 April 2002

12 2

Unitarily-invariant linear spaces in C*-algebras

- L. Marcoux, G. J. Murphy
- Mathematics
- 1998

Characterisations and containment results are given for linear subspaces of a unital C*-algebra that are invariant under conjugation by sets of unitary elements of the algebra. The… Expand

24 2- PDF

PROJECTIONS, COMMUTATORS AND LIE IDEALS IN C * -ALGEBRAS

- L. Marcoux
- Mathematics
- 2011

In this expository note, we survey some recent investigations into the problem of determining when the (algebraic) linear span of the projections in a unital, simple C*-algebra A coincides with the… Expand

21 2

Triangularizability of operators with increasing spectrum

- L. Marcoux, M. Mastnak, H. Radjavi
- Mathematics
- 1 December 2009

We establish finite- and infinite-dimensional versions of the following assertion. If M is a matrix with the property that whenever P and Q are diagonal projections with P⩽Q, the spectrum of PMP… Expand

3 2- PDF