Functions of several noncommuting variables
نویسندگان
چکیده
منابع مشابه
Functions of Several Noncommuting Variables
The notions of nonsingularity, resolvent set, and spectrum, and the corresponding analytic functional calculus for n-tuples of elements of a commutative Banach algebra provide some of the deepest and most potent tools of modern analysis. A point of view one can adopt regarding this theory is as follows: The class of algebras (9(U)9 for U a domain in C9 provides a relatively small, well-understo...
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Polynomials, rational functions, and formal power series in (free) noncommuting variables were considered in a variety of settings. While usually viewed as formal algebraic objects, they also appeared often as functions by substituting tuples of matrices or operators for the variables. Our point of view is that a function of noncommuting variables is a function defined on tuples of matrices of ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1973
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1973-13077-0