Browsing by Author "Lu, Zhiqin"

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    • Article  

      The spectrum of continuously perturbed operators and the Laplacian on forms 

      Charalambous, Nelia; Lu, Zhiqin (2019)
      In this article we study the variation in the spectrum of a self-adjoint nonnegative operator on a Hilbert space under continuous perturbations of the operator. In the particular case of the Laplacian on k-forms over a ...
    • Article  

      The spectrum of the Laplacian on forms over flat manifolds 

      Charalambous, Nelia; Lu, Zhiqin (2019)
      In this article we prove that the spectrum of the Laplacian on k-forms over a non compact flat manifold is always a connected closed interval of the non negative real line. The proof is based on a detailed decomposition ...