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math.OA2022
Finite dimensional approximations in operator algebras
Michael Hartz
A non-self-adjoint operator algebra is said to be residually finite dimensional (RFD) if it embeds into a product of matrix algebras. We characterize RFD operator algebras in terms…
math.OA2022
Lebesgue decompositions and the Gleason--Whitney property for operator algebras
Raphaël Clouâtre, Michael Hartz
Broadly speaking, this paper is concerned with dual spaces of operator algebras. More precisely, we investigate the existence of what we call Lebesgue projections: central projecti…