Using matched projections m(Q) of idempotents Q, the paper gives complete distance characterizations to projections, explicit 4x4 block forms for C*{Q}, and new numerical range descriptions.
Schneider, Convex Bodies: the Brunn-Minkowski Theory, Cambridge University Press, Cambridge, 2nd expanded edition
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Some applications of the matched projections of idempotents
Using matched projections m(Q) of idempotents Q, the paper gives complete distance characterizations to projections, explicit 4x4 block forms for C*{Q}, and new numerical range descriptions.