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Cartan MASAs in von Neumann Algebras are Norming and a New Proof of Mercer's Theorem
Norming algebra Cartan MASA C*-diagonal
2012/2/28
In this note we observe that a result of Sinclair and Smith together with the Feldman-Moore description of a von Neumann algebra with a Cartan MASA shows that Cartan MASAs are norming. We also use the...
An elementary proof of Hilbert's theorem on ternary quartics
elementary proof Hilbert's theorem ternary quartics
2010/9/1
In 1888, Hilbert proved that every nonnegative quartic form f = f(x, y, z) with real oefficients is a sum of three squares of quadratic forms. His proof was ahead of its time and used advanced methods...