@inbook{00108554566948539249987444d58a8d,

title = "A Distance Formula Related to a Family of Projections Orthogonal to Their Symmetries",

abstract = "Let u be a Hermitian involution, and e an orthogonal projection, acting on the same Hilbert space 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.",

keywords = "C-algebra, Involution, Orthogonal projection, W-algebra",

author = "Spitkovsky, {Ilya M.}",

note = "Funding Information: The author was supported in part by Faculty Research funding from the Division of Science and Mathematics, New York University Abu Dhabi. Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",

year = "2018",

doi = "10.1007/978-3-319-72449-2_17",

language = "English (US)",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing",

pages = "371--376",

booktitle = "Operator Theory",

}