Geodesic
Banach Algebra Technique for Proving an Addition Formula for Spectral Multiplicities of Sets of Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 1, pp. 93-95.

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We use a Banach algebra technique to compute the spectral multiplicity of some sets of commuting operators.
Keywords: Banach algebra, representation, spectral multiplicity. 
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M. T. Karaev. Banach Algebra Technique for Proving an Addition Formula for Spectral Multiplicities of Sets of Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 1, pp. 93-95. http://geodesic.mathdoc.fr/item/FAA_2007_41_1_a6/

[1] A. A. Kirillov, Elementy teorii predstavlenii, Nauka, M., 1972 | MR

[2] N. Dunford, L. Schwartz, Linear operators, Part \rom{I:} General theory, Springer-Verlag, New York, 1958 | MR

[3] H. Radjavi, P. Rosenthal, Invariant subspaces, Springer-Verlag, Berlin–New York, 1973 | MR | Zbl

[4] N. K. Nikolskii, “Invariantnye podprostranstva v teorii operatorov i teorii funktsii”, Itogi nauki i tekhniki. Matematicheskii analiz, 12, 1974, 199–412

[5] N. K. Nikolskii, Lektsii ob operatore sdviga, Nauka, M., 1980 | MR

[6] B. Szökefalvi-Nagy, C. Foiaş, Harmonic analysis of operators on Hilbert space, North-Holland, Amsterdam, 1970 | MR

[7] V. Ya. Lin, Funkts. analiz i ego pril., 7:2 (1973), 43–51 | MR | Zbl