@inbook{f74543f006b74fdca421235c0dc51310,

title = "Robert Sheckley{\textquoteright}s Answerer for two orthogonal projections",

abstract = "The meta theorem of this paper is that Halmos{\textquoteright} two projections theorem is something like Robert Sheckley{\textquoteright}s Answerer: no question about the W*- and C*-algebras generated by two orthogonal projections will go unanswered, provided the question is not foolish. An alternative approach to questions about two orthogonal projections makes use of the supersymmetry equality introduced by Avron, Seiler, and Simon. A noteworthy insight of the paper reveals that the supersymmetric approach is nothing but Halmos in different language and hence an equivalent Answerer.",

keywords = "C-algebra, Drazin inverse, Fredholm operator, Orthogonal projection, Trace-class operator, W-algebra",

author = "Albrecht B{\"o}ttcher and Spitkovsky, {Ilya M.}",

note = "Funding Information: The second 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.",

year = "2018",

doi = "10.1007/978-3-319-75996-8_6",

language = "English (US)",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing",

pages = "125--138",

booktitle = "Operator Theory",

}