A second look at "A Geometric Proof of the Spectral Theorem for Unbounded Self-Adjoint Operators"

Herbert Leinfelder

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arXiv · 1712.07988

A second look at "A Geometric Proof of the Spectral Theorem for Unbounded Self-Adjoint Operators"

Herbert Leinfelder

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Abstract

A new geometric proof of the spectral theorem for unbounded self-adjoint operators A in a Hilbert space H is given based on a splitting of A in positive and negative parts A+ and A-. For both operators A+ and A- the spectral family can be defined immediately and then put together to become the spectral family of A.

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Herbert Leinfelder. 2017-12-21. A second look at "A Geometric Proof of the Spectral Theorem for Unbounded Self-Adjoint Operators". https://arxiv.org/abs/1712.07988

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