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math.OA2000
The Dirac operator of a commuting d-tuple
William Arveson
Given a commuting d-tuple of otherwise arbitrary nonnormal operators on a Hilbert space, there is an associated Dirac operator . Significant attr…
math.OA2000
The domain algebra of a CP semigroup
William Arveson
A CP semigroup is a semigroup of normal unit-preserving completely positive maps acting on the algebra B(H) of all operators on a separable Hilbert space H. Such a semigroup has a…
math.OA2000
The heat flow of the CCR algebra
William Arveson
Let P and Q be the canonical operators acting on the Hilbert space of all L^2 functions on the real line, defined appropriately on a common dense domain. The derivations D_P(A) = i…