[1] V.I. Rabanovich and Yu.S. Samoilenko. On representations of F_n-algebras and their applications. Oper. Theory, Adv. and Appl. vol. 118 (2000) 347-357. |

[2] V.I. Rabanovich and Yu.S. Samoilenko. When a sum of idempotents or projections is a multiple of identity. Funct. Anal. Prilozh. Vol. 34 (2000) no. 4, 311-313 (in Russian variant 91-93). |

[3] T. Ehrhardt, V. Rabanovich, Yu. Samoilenko and B. Silbermann. On the decomposition of the identity into a sum of idempotents. Methods Funct. Anal. Topol. Vol. 7, no 2 (2001) 1-6. http://imath.kiev.ua/~mfat/ The editors promise to provide access to full texts of last issues. |

[4] V.I. Rabanovich and Yu.S. Samoilenko. Cases in which a scalar operator is a sum of projections. Ukrainian Math. Jour. Vol. 53, no. 7 (2001) 1116-1133 (pp. in Russian variant |

[5] V.I. Rabanovich, Yu.S. Samoilenko and A.V. Strelets. On identities in algebras Q_{n,\lambda} generated by idempotents. Ukrainian .Math. Jour. Vol. 53, no. 10 (2001) 1673-1687 (pp. 1380-1390 in Russian variant) |

[6] S.A. Kruglyak, V.I. Rabanovich and Yu.S. Samoilenko. On sums of projections. Funct. Anal. Prilozh. Vol. 36 (2002) no. 3, 20-35. |

[7] S. Kruglyak, V. Rabanovich and Yu. Samoilenko. Decomposition of a scalar matrix into a sum of orthogonal projections. Linear Algebra and Its Appl. Vol. 370 (2003), 217-225. http://www.sciencedirect.com~LAA issues |

[8] Rabanovich V.I. and Strelets A.V., On Polynomial Identities in Algebras Generated by Idempotents and Their *-Representations. Proc. Inst. Math. NAS of Ukraine V. 50 (2004) (1179-1183) PDF-file . |

[9] Rabanovych V.I. On the Decomposition of an Operator into a Sum of Four Idempotents. Ukrainian Math. Jour. Vol. 56, no. 3 (2004) 512-519 (pp. 419-424 in Ukrainian variant) |

[10] A. S. Mellit, V.I. Rabanovich, and Yu.S. Samoilenko. When is a sum of partial reflections equal to a scalar operator. Funct. Anal. Prilozh. Vol. 38 (2004) no. 2, 157-160 (pp. in Russian variant 91-94). |

[11] V.I. Rabanovich, Yu.S. Samoilenko and A.V. Strelets. On Identities in Algebras Generated by linear connected idempotents. Ukrainian .Math. Jour. Vol. 56, no. 6 (2004) 926-946 (pp. 782-795 in Russian variant) |

[12] V. Rabanovich. Every matrix is a linear combination of three idempotents. Linear Algebra and Its Appl. Vol. 390 (2004), 137-143. http://www.sciencedirect.com~LAA issues |

[13] V.I. Rabanovych. On a decomposition of a diagonal operator into a linear combination of idempotents or projections. Ukrainian .Math. Jour. Vol. 57, no. 3 (2005) (466-473) (pp. 388-393 in Ukrainian variant) |

[14] V. Mazorchuk and S. Rabanovich. Multicommutators and multianticommutators of orthogonal projections. Linear and Multilinear Algebra, Vol. 56(6), (2008) 639-646. |

[15] S. Rabanovich and A.A. Yusenko. On decompositions of the identity operator into a linear combination of orthogonal projections. Methods of funct. Analys. Topol. Vol. 16, no. 1 (2010) 57-68. http://imath.kiev.ua/~mfat/....PDF |

[16] S. Albeverio and S. Rabanovich. Decomposition of a scalar operator into a product of unitary operators with two points in spectrum. Linear Algebra and Its Appl., Vol. 433, (2010) 1127-1137. |

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