Published in
Taylor and Francis Group, Linear and Multilinear Algebra, 2(35), p. 107-113
DOI: 10.1080/03081089308818247
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Commutativity for systems of (2 × 2) selfadjoint matrices
Journal article published in 1993 by
B. R. F. Jefferies,
W. J. Ricker
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Abstract
A purely analytic criterion is presented which characterises the commutativity of a finite-collection of (2x2) selfadjoint matrices. Indeed, it is always possible to associate with such matrices their so called Weyl Calculus which is a matirx-valued distribution of finite order. It is shown that the matrices common if and only if their associated Weyl Calculus is a distribution of order zero.