It takes the average reader 2 hours and 19 minutes to read Non-Commutative Spectral Theory for Affine Function Spaces on Convex Sets by Erik Magnus Alfsen
Assuming a reading speed of 250 words per minute. Learn more
In this paper we develop geometric notions related to self-adjoint projections and one-sided ideals in operator algebras. In the context of affine function spaces on convex sets we define projective units. P-projections, and projective faces which generalize respectively self-adjoint projections p, the maps a [right arrow] pap, and closed faces of state spaces of operator algebras. In terms of these concepts we state a "spectral axiom" requiring the existence of "sufficiently many" projective objects. We then prove the spectral theorem: that elements of the affine function space admit a unique spectral decomposition. This in turn yields a satisfactory functional calculus, which is unique under a natural minimality requirement (that it be "extreme point preserving").
Non-Commutative Spectral Theory for Affine Function Spaces on Convex Sets by Erik Magnus Alfsen is 136 pages long, and a total of 34,816 words.
This makes it 46% the length of the average book. It also has 43% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 10 minutes to read Non-Commutative Spectral Theory for Affine Function Spaces on Convex Sets aloud.
Non-Commutative Spectral Theory for Affine Function Spaces on Convex Sets is suitable for students ages 10 and up.
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