activity
20002023
most citedOn the ranges of bimodule projections

33 citations · 97 across the 12 of their papers we have counts for

collaborators

12 papers

math.OA2023

Homomorphisms of algebras and Fourier algebras

M. Anoussis, G. K. Eleftherakis, A. Katavolos

We investigate conditions for the extendibility of continuous algebra homomorphisms from the Fourier algebra of a locally compact group to the Fourier-Stieltjes alge…

math.FA2021★ 1 cited

Synthetic properties of locally compact groups: preservation and transference

M. Anoussis, G. K. Eleftherakis, A. Katavolos

Using techniques from TRO equivalence of masa bimodules we prove various transference results: We show that when is a group homomorphism which pushes forward the Haar measure o…

math.FA2021★ 3 cited

Idempotents of large norm and homomorphisms of Fourier algebras

M. Anoussis, G. K. Eleftherakis, A. Katavolos

We provide necessary and sufficient conditions for the existence of idempotents of arbitrarily large norms in the Fourier algebra A(G) and the Fourier-Stieltjes algebra B(G) of a l…

math.FA2021

Homomorphisms of Fourier algebras and transference results

M. Anoussis, G. K. Eleftherakis, A. Katavolos

We prove that if is a homomorphism between the Fourier algebra of a locally compact group and the Fourier-Stieltjes algebra of a locally compact group in…

math.OA2018★ 1 cited

Bimodules over , harmonic operators and the non-commutative Poisson boundary

Mihalis Anoussis, Aristides Katavolos, Ivan G. Todorov

Starting with a left ideal of we consider its annihilator in and the generated -bimodule in , ${\rm Bim}(…

math.OA2014★ 6 cited

Ideals of the Fourier algebra, supports and harmonic operators

M. Anoussis, A. Katavolos, I. G. Todorov

We examine the common null spaces of families of Herz-Schur multipliers and apply our results to study jointly harmonic operators and their relation with jointly harmonic functiona…

math.OA2014★ 12 cited

Ideals of and bimodules over maximal abelian selfadjoint algebras

M. Anoussis, A. Katavolos, I. G. Todorov

This paper is concerned with weak* closed masa-bimodules generated by A(G)-invariant subspaces of VN(G). An annihilator formula is established, which is used to characterise the we…

math.OA2010★ 6 cited

Operator algebras from the discrete Heisenberg semigroup

M. Anoussis, A. Katavolos, I. G. Todorov

We study reflexivity and structure properties of operator algebras generated by representations of the discrete Heisenberg semi-group. We show that the left regular representation…

math.OA2006

Angles in C*-algebras

M. Anoussis, A. Katavolos, I. G. Todorov

In this work we characterise the C*-algebras A generated by projections with the property that every pair of projections in A has positive angle, as certain extensions of abelian a…

math.OA2003★ 33 cited

On the ranges of bimodule projections

Aristides Katavolos, Vern I. Paulsen

We develop a symbol calculus for normal bimodule maps over a masa that is the natural analogue of the Schur product theory. Using this calculus we are able to easily give a complet…

math.OA2000★ 24 cited

The Jacobson radical for analytic crossed products

Allan P. Donsig, Aristides Katavolos, Antonios Manoussos

We characterise the (Jacobson) radical of the analytic crossed product of C_0(X) by the non-negative integers (Z_+), answering a question first raised by Arveson and Josephson in 1…

math.OA2000★ 11 cited

Normalizers of Operator Algebras and Reflexivity

A. Katavolos, I. G. Todorov

The set of normalizers between von Neumann (or, more generally, reflexive) algebras A and B, (that is, the set of all operators x such that xAx* is a subset of B and x*Bx is a subs…