119.KS-Detailed.pdf
aimath.org · 9,518 words · saved by 1 readers
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THE KADISON-SINGER PROBLEM IN MATHEMATICS AND ENGINEERING: A DETAILED ACCOUNT PETER G. CASAZZA, MATTHEW FICKUS, JANET C. TREMAIN, ERIC WEBER Abstract. We will show that the famous, intractible 1959 Kadison-Singer problem in C ∗ -algebras is equivalent to fundamental unsolved problems in a dozen areas of research in pure mathematics, applied mathematics and Engineering. This gives all these areas common ground on which to interact as well as explaining why each of these areas has volumes of literature on their respective problems without a…
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