When a sum of idempotents or projections is a multiple of the identity
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Publication:5930980
DOI10.1023/A:1004173827361zbMath0990.47056OpenAlexW168108708MaRDI QIDQ5930980
Yurii S. Samoilenko, Viacheslav I. Rabanovich
Publication date: 2000
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1004173827361
Representations of topological algebras with involution (46K10) Representations of topological algebras (46H15) Linear spaces of operators (47L05)
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Locally scalar graph representations in the category of Hilbert spaces. ⋮ Algebras generated by linearly dependent elements with prescribed spectra. ⋮ Decomposition of a scalar matrix into a sum of orthogonal projections ⋮ Rank equalities for idempotent matrices with applications. ⋮ On universal $C^*$-algebras generated by $n$ projections with scalar sum
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