Abstract
Let u be a Hermitian involution, and e an orthogonal projection, acting on the same Hilbert space \(\mathcal{H}\). We establish the exact formula, in terms of \(||{eue}||\), for the distance from e to the set of all orthogonal projections q from the algebra generated by e, u, and such that quq = 0.
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Spitkovsky, I.M. (2018). A Distance Formula Related to a Family of Projections Orthogonal to Their Symmetries. In: André, C., Bastos, M., Karlovich, A., Silbermann, B., Zaballa, I. (eds) Operator Theory, Operator Algebras, and Matrix Theory. Operator Theory: Advances and Applications, vol 267. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-72449-2_17
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DOI: https://doi.org/10.1007/978-3-319-72449-2_17
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-72448-5
Online ISBN: 978-3-319-72449-2
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