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<p>This article establishes spectral approximation results for continuous self-adjoint linear relations on separable Hilbert spaces. While analogous results for self-adjoint operators are well studied and widely applied in mathematical physics, numerical analysis, and quantum theory, this work introduces a novel extension to the broader and more intricate framework of linear relations. This generalization not only deepens the theoretical understanding of spectral approximation but also paves the way for potential applications in areas where multivalued or unbounded linear models naturally arise.</p>

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Spectral approximation of continuous self-adjoint linear relations

  • 期刊论文

  • 发表日期：

    2026年5月11日

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  • MATHEW THOMAS,
  • V. B. KIRAN KUMAR

摘要

This article establishes spectral approximation results for continuous self-adjoint linear relations on separable Hilbert spaces. While analogous results for self-adjoint operators are well studied and widely applied in mathematical physics, numerical analysis, and quantum theory, this work introduces a novel extension to the broader and more intricate framework of linear relations. This generalization not only deepens the theoretical understanding of spectral approximation but also paves the way for potential applications in areas where multivalued or unbounded linear models naturally arise.