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Weyl's theorem and tensor products: A counterexample
Authors:Derek Kitson  Carlos Hernández
Institution:a School of Mathematics, Trinity College, Dublin, Ireland
b Instituto de Matemáticas, Universidad Nacional Autónoma de México, Mexico
Abstract:Approximately fifty percent of Weyl's theorem fails to transfer from Hilbert space operators to their tensor product. As a biproduct we find that the product of circles in the complex plane is a limaçon.
Keywords:Weyl's theorem  Browder's theorem  Tensor product  Shifts  Spectral picture  Limaç  on
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