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Some remarks on the mutually commutative idempotents

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Publication:6646581
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DOI10.1007/S43036-024-00339-4MaRDI QIDQ6646581

W. Luo, Chunhong Fu, Qingxiang Xu

Publication date: 2 December 2024

Published in: Advances in Operator Theory (Search for Journal in Brave)




zbMATH Keywords

idempotentlinear combinationmutual commutativity


Mathematics Subject Classification ID

Commutativity of matrices (15A27) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on Hilbert spaces (general) (47B02)


Cites Work

  • Title not available (Why is that?)
  • Title not available (Why is that?)
  • On idempotency of linear combinations of idempotent matrices
  • Idempotency of linear combinations of three idempotent matrices, two of which are commuting
  • On oblique projectors
  • Idempotency of linear combinations of two idempotent matrices
  • Halmos' two projections theorem for Hilbert \(C^\ast\)-module operators and the Friedrichs angle of two closed submodules
  • On the product of oblique projectors
  • On matrices whose Moore–Penrose inverse is idempotent
  • The star order for idempotent operators
  • Factorizations of idempotent operator as products of two idempotents







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