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math.FA2025
Annihilating ideals and Agler--McCarthy spectral varieties in the bidisc
Raphaël Clouâtre, Poornendu Kumar
The closed unit bidisc is known to be a spectral set for any pair of commuting contractions. When each is pure and has finite defect, th…
math.OA2025
-supports and abnormalities of operator systems
Raphaël Clouâtre, Colin Krisko
Let be a concrete operator system represented on some Hilbert space . A -support of is the -algebra generated (via the Choi--Effros product) by inside an i…