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Monotone convergence for bounded self-adjoint operators
I realized that before the Square Root Lemma post, I should have included a short section. Here is this section. The following Lemma is often being used in the construction of the square root of a self-adjoint positive operator. We … Continue reading
Functoriality of the Borel Functional Calculus and Pushforward of Spectral Measures
This post is just the final part of Spectral integrals and a first taste of functional calculus. The pdf file is here.
Spectral integrals and a first taste of functional calculus
Today it just a pdf document. Available here. Afternotes. 04-07-26 Added property (iii) in the defining properties of a spectral measure Definition 2). I have forgotten about this important property in the original version.
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