Arveson dichotomy and essential fractality

Details Arveson dichotomy and essential fractality Arveson dichotomy and essential fractality

2011-07-26

arxiv.org/abs/1107.5205v1

Mathematics

Operator Algebras

19 pages

Scientific paper

The notions of fractal and essentially fractal algebras of approximation sequences and of the Arveson dichotomy have proved extremely useful for several spectral approximation problems. The purpose of this short note is threefold: to present a short new proof of the fractal restriction theorem, to relate essential fractality with Arveson dichotomy, and to derive a restriction theorem for essential fractality.

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