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math.FA2000
Remarks on the similarity degree of an operator algebra
Gilles Pisier
The "similarity" degree of a unital operator algebra was defined and studied in two recent papers of ours, where in particular we showed that it coincides with the "length" of…
math.FA2000
Multipliers of the Hardy space H^1 and power bounded operators
Gilles Pisier
We study the space of functions $ϕ\colon \NN\to \CC$ such that there is a Hilbert space , a power bounded operator in and vectors in such that $$ϕ(n) = < T^…
math.OA2000
Similarity problems and length
Gilles Pisier
This is a survey of the author's recent results on the Kadison and Halmos similarity problems and the closely connected notion of ``length'' of an operator algebra.