A nonstandard proof of the spectral theorem for unbounded self-adjoint operators

@article{Goldbring2021ANP,
  title={A nonstandard proof of the spectral theorem for unbounded self-adjoint operators},
  author={Isaac Goldbring},
  journal={Expositiones Mathematicae},
  year={2021}
}

Everettian Mechanics with Hyperfinitely Many Worlds

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A course in functional analysis is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.

Real and complex analysis, McGraw-Hill Series in Higher Mathematics

  • Email address: isaac@math.uci.edu URL: http://www.math.uci.edu/~isaac
  • 1986

Loeb measure and probability, Nonstandard Analysis: Theory and Applications

  • NATO ASI Series
  • 1997