A negative answer to the question of the linearity of Tate's Trace for the sum of two endomorphisms
classification
🧮 math.RA
keywords
linearitytatetraceanswercounter-exampleendomorphismsfiniteinfinite-dimensional
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The aim of this note is to solve a problem proposed by J. Tate in 1968 by offering a counter-example of the linearity of the trace for the sum of two finite potent operators on an infinite-dimensional vector space.
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