Geodesic
On a Result of R. Turner
Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 905-917.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the similarity of perturbed compact operators to operators of block-diagonal structure with respect to some family of orthogonal projection operators, which allows us to refine and essentially strengthen results due to R.  Turner. We obtain information about the operator realizing the similarity transformation, present estimates for the eigenvalues and eigenvectors of the perturbed operator, and also study the inverse problem of spectral analysis. 
@article{MZM_2004_76_6_a10,
     author = {N. B. Uskova},
     title = {On a {Result} of {R.} {Turner}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {905--917},
     publisher = {mathdoc},
     volume = {76},
     number = {6},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a10/}
}
TY  - JOUR
AU  - N. B. Uskova
TI  - On a Result of R. Turner
JO  - Matematičeskie zametki
PY  - 2004
SP  - 905
EP  - 917
VL  - 76
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a10/
LA  - ru
ID  - MZM_2004_76_6_a10
ER  - 
%0 Journal Article
%A N. B. Uskova
%T On a Result of R. Turner
%J Matematičeskie zametki
%D 2004
%P 905-917
%V 76
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a10/
%G ru
%F MZM_2004_76_6_a10
N. B. Uskova. On a Result of R. Turner. Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 905-917. http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a10/

[1] Danford N., Shvarts Dzh. T., Lineinye operatory. Spektralnye operatory, Mir, M., 1974

[2] Baskakov A. G., Garmonicheskii analiz lineinykh operatorov, Uchebnoe posobie, Izd-vo Voronezhskogo un-ta, Voronezh, 1987 | Zbl

[3] Baskakov A. G., “Spektralnyi analiz vozmuschennykh nekvazianaliticheskikh i spektralnykh operatorov”, Izv. RAN. Ser. matem., 58:4 (1994), 3–32 | MR | Zbl

[4] Baskakov A. G., “Spektralnyi analiz otnositelno konechnomernykh vozmuschenii spektralnykh operatorov”, Izv. vuzov. Matem., 1991, no. 1, 3–11 | MR | Zbl

[5] Uskova N. B., “O spektre nekotorykh klassov differentsialnykh operatorov”, Differents. uravneniya, 30:2 (1994), 350–352 | MR | Zbl

[6] Baskakov A. G., “Otsenki elementov obratnykh matrits i spektralnyi analiz lineinykh operatorov”, Izv. RAN. Ser. matem., 61:6 (1997), 3–26 | MR | Zbl

[7] Uskova N. B., “Ob otsenkakh spektralnykh proektorov vozmuschennykh samosopryazhennykh operatorov”, Sib. matem. zh., 41:3 (2000), 712–721 | MR | Zbl