The norm attainment problem for functions of projections

10 Mar 2021  ·  Albrecht Böttcher, Ilya M. Spitkovsky ·

The paper is concerned with the problem of identifying the norm attaining operators in the von Neumann algebra generated by two orthogonal projections on a Hilbert space. This algebra contains every skew projection on that Hilbert space and hence the results of the paper also describe functions of skew projections and their adjoints that attain the norm...

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Functional Analysis Primary 47A30, Secondary 46L89, 47A56, 47B15, 47C15