@article{Gill2012NoteOT,
title={Note on the Spectral Theorem},
author={Tepper Gill and David R. Williams},
journal={arXiv: Mathematical Physics},
year={2012}
}

In this note, we show that the spectral theorem, has two representations; the Stone-von Neumann representation and one based on the polar decomposition of linear operators, which we call the deformed representation. The deformed representation has the advantage that it provides an easy extension to all closed densely defined linear operators on Hilbert space. Furthermore, the deformed representation can also be extended all separable reflexive Banach spaces and has a limited extension to non… Expand

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Abstract Paul Zweifel served as the founding editor of the Transport Theory and Statistical Physics journal from 1971 to 1981. An overview of his professional life gives a detailed list of his… Expand

Then X is regular on 3Sm; so $ D 9Sm. If ƒ e 2Bm — 53m, either there is a & > 0 such that B is of finite measure and JBf exists or not; if there is no such b, \f\ dominates a function with this… Expand