A new functional calculus for noncommuting operators
نویسندگان
چکیده
In this paper we use the notion of slice monogenic functions [2] to define a new functional calculus for an n-tuple T of not necessarily commuting operators. This calculus is different from the one discussed in [5] and it allows the explicit construction of the eigenvalue equation for the n-tuple T based on a new notion of spectrum for T . Our functional calculus is consistent with the Riesz-Dunford calculus in the case of a single operator. AMS Classification: 47A10, 47A60, 30G35.
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