On the Similarity to Self-Adjoint Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 65-70.

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

An approach to the similarity problem is presented, which is based on the notion of a $w$-perturbation of the Volterra operator and uses the theory of Muckenhoupt weights.
Keywords: similarity criteria, Muckenhoupt weight, $w$-perturbation of the Volterra operator, self-adjoint operator.
@article{FAA_2014_48_4_a5,
     author = {G. M. Gubreev and A. A. Tarasenko},
     title = {On the {Similarity} to {Self-Adjoint} {Operators}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {65--70},
     publisher = {mathdoc},
     volume = {48},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a5/}
}
TY  - JOUR
AU  - G. M. Gubreev
AU  - A. A. Tarasenko
TI  - On the Similarity to Self-Adjoint Operators
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2014
SP  - 65
EP  - 70
VL  - 48
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a5/
LA  - ru
ID  - FAA_2014_48_4_a5
ER  - 
%0 Journal Article
%A G. M. Gubreev
%A A. A. Tarasenko
%T On the Similarity to Self-Adjoint Operators
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2014
%P 65-70
%V 48
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a5/
%G ru
%F FAA_2014_48_4_a5
G. M. Gubreev; A. A. Tarasenko. On the Similarity to Self-Adjoint Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 65-70. http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a5/

[1] G. M. Gubreev, Yu. D. Latushkin, Funkts. analiz i ego pril., 42:3 (2008), 85–89 | DOI | MR | Zbl

[2] G. M. Gubreev, Yu. D. Latushkin, Izv. RAN, ser. matem., 75:2 (2011), 69–126 | DOI | MR | Zbl

[3] G. M. Gubreev, A. A. Tarasenko, Funkts. analiz i ego pril., 45:2 (2011), 86–91 | DOI | MR | Zbl

[4] S. Treil, A. Volberg, J. Funct. Anal., 143:2 (1997), 269–308 | DOI | MR | Zbl

[5] M. S. Brodskii, Treugolnye i zhordanovy predstavleniya lineinykh operatorov, Nauka, M., 1969 | MR

[6] B. Sz.-Nagy, C. Foias, Acta Sci. Math., 26:2 (1965), 79–91 | MR | Zbl

[7] I. Ts. Gokhberg, M. G. Krein, Funkts. analiz i ego pril., 1:1 (1967), 38–60 | MR | Zbl

[8] L. A. Sakhnovich, Trudy MMO, 19 (1968), 211–270 | MR | Zbl

[9] J. A. van Casteren, Pasific J. Math., 104:1 (1983), 241–255 | DOI | MR | Zbl

[10] C. N. Naboko, Funkts. analiz i ego pril., 18:1 (1984), 16–27 | MR | Zbl

[11] M. M. Malamud, Ukr. matem. zhurn., 37:1 (1985), 49–56 | MR | Zbl

[12] M. M. Malamud, Zap. nauchn. sem. POMI, 270 (2000), 201–241 | MR | Zbl

[13] C. N. Naboko, M. M. Faddeev, Vestnik Leningr. un-ta, ser. 4, fiz. khim., 1990, no. 4, 78–82 | MR | Zbl

[14] M. M. Faddeev, Funkts. analiz i ego pril., 26:4 (1992), 80–83 | MR | Zbl

[15] M. M. Faddeev, R. G. Shterenberg, Zap. nauchn. sem. POMI, 270 (2000), 336–349 | MR | Zbl

[16] A. V. Kiselev, M. M. Faddeev, Funkts. analiz i ego pril., 34:2 (2000), 78–81 | DOI | MR | Zbl

[17] M. M. Faddeev, R. G. Shterenberg, Matem. zametki, 72:2 (2002), 292–302 | DOI | MR | Zbl

[18] A. S. Kostenko, Matem. zametki, 78:1 (2005), 147–151 | DOI | MR | Zbl