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Dimension of Null Spaces with Applications to Group Rings
Published online by Cambridge University Press: 20 November 2018
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In this paper we investigate methods for estimating the dimension of the null space of operators in a finite W* algebra, the dimension being measured by the trace τ. For the most part we are concerned with operators A which are a finite linear combination of orthogonal unitaries. We give various results which show how certain information about the unitaries and the coefficients can be utilized to derive an upper bound for τ(NA) where NA is the null space of A.
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- Copyright © Canadian Mathematical Society 1978
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