Convex Entire Noncommutative Functions are Polynomials of Degree Two or Less
نویسندگان
چکیده
منابع مشابه
Convex Noncommutative Polynomials Have Degree Two or Less
A polynomial p (with real coefficients) in noncommutative variables is matrix convex provided p(tX + (1 − t)Y ) ≤ tp(X) + (1 − t)p(Y ) for all 0 ≤ t ≤ 1 and for all tuples X = (X1, . . . , Xg) and Y = (Y1, . . . , Yg) of symmetric matrices on a common finite dimensional vector space of a sufficiently large dimension (depending upon p). The main result of this paper is that every matrix convex p...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2016
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-016-2317-y