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