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@article{IM2_1973_7_5_a6, author = {A. S. Markus and I. V. Mereutsa}, title = {On the complete $n$-tuple of roots of the operator equation cirresponding to a~polynomial operator bundle}, journal = {Izvestiya. Mathematics }, pages = {1105--1128}, publisher = {mathdoc}, volume = {7}, number = {5}, year = {1973}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_5_a6/} }
TY - JOUR AU - A. S. Markus AU - I. V. Mereutsa TI - On the complete $n$-tuple of roots of the operator equation cirresponding to a~polynomial operator bundle JO - Izvestiya. Mathematics PY - 1973 SP - 1105 EP - 1128 VL - 7 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1973_7_5_a6/ LA - en ID - IM2_1973_7_5_a6 ER -
%0 Journal Article %A A. S. Markus %A I. V. Mereutsa %T On the complete $n$-tuple of roots of the operator equation cirresponding to a~polynomial operator bundle %J Izvestiya. Mathematics %D 1973 %P 1105-1128 %V 7 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_1973_7_5_a6/ %G en %F IM2_1973_7_5_a6
A. S. Markus; I. V. Mereutsa. On the complete $n$-tuple of roots of the operator equation cirresponding to a~polynomial operator bundle. Izvestiya. Mathematics , Tome 7 (1973) no. 5, pp. 1105-1128. http://geodesic.mathdoc.fr/item/IM2_1973_7_5_a6/
[1] Krein M. G., Langer G. K., “O nekotorykh matematicheskikh printsipakh lineinoi teorii dempfirovannykh kolebanii kontinuumov”, Tr. mezhdunarodnogo simpoziuma po primeneniyu teorii funktsii kompleksnogo peremennogo v mekhanike sploshnoi sredy, t. 2, Nauka, M., 1965, 283–322 | MR
[2] Langer H., “Über eine Klasse nichtlinearer Eigenwertprobleme”, Acta Sci. Math. Szeged, 34 (1973) | MR | Zbl
[3] Markus A. S., Matsaev V. I., Russu G. I., “O nekotorykh obobscheniyakh teorii silno dempfirovannykh puchkov na sluchai puchkov proizvolnogo poryadka”, Acta Sci. Math. Szeged, 34 (1973), 245–271 | MR | Zbl
[4] Danford N., Shvarts Dzh. T., Lineinye operatory. Obschaya teoriya, IL, M., 1962
[5] Berberian S. K., “Approximative proper vectors”, Proc. Amer. Math. Soc., 13:1 (1962), 111–114 | DOI | MR | Zbl
[6] Lyubich Yu. I., “O spektre predstavleniya topologicheskoi abelevoi gruppy”, Dokl. AN SSSR, 200:4 (1971), 777–780 | Zbl
[7] Mereutsa I. V., “O svoistvakh kornei operatornogo uravneniya, sootvetstvuyuschego polinomialnomu operatornomu puchku”, Matem. issled., 8:1 (1973), 96–115 | MR | Zbl
[8] Sigal E. I., “O kratnosti kharakteristicheskogo chisla proizvedeniya operator-funktsii”, Matem. issled., 5:1 (1970), 118–127 | MR | Zbl
[9] Keldysh M. V., “O sobstvennykh znacheniyakh i sobstvennykh funktsiyakh nekotorykh klassov nesamosopryazhennykh operatorov”, Dokl. AN SSSR, 77:1 (1951), 11–14 | Zbl
[10] Markus A. S., “K spektralnoi teorii polinomialnykh operatornykh puchkov v banakhovom prostranstve”, Sib. matem. zh., 8:6 (1967), 1346–1369 | MR | Zbl
[11] Markus A. S., Vizitei V. N., “O skhodimosti kratnykh razlozhenii po sisteme sobstvennykh i prisoedinennykh vektorov operatornogo puchka”, Matem. sb., 66(108) (1965), 287–320 | MR
[12] Gokhberg I. Ts., Feldman I. A., Uravneniya v svertkakh i proektsionnye metody ikh resheniya, Nauka, M., 1971 | MR | Zbl
[13] Balinskii A. I., Zorii L. M., “Pro odin cnocib doslidzhennya spektra polinomialnikh puchkiv samospryazhenikh onepatopiv u gilbertovomu prostori”, Dopovidi AN URSR, 1972, no. 6, 485–488 | MR
[14] Markus A. S., Mereutsa I. V., “O svyazi mezhdu spektralnymi svoistvami polinomialnogo puchka i kornei sootvetstvuyuschego operatornogo uravneniya”, Funktsionalnyi analiz i ego prilozh., 7:1 (1973), 77–78 | MR | Zbl