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@article{FAA_1985_19_2_a3, author = {V. V. Peller}, title = {Hankel operators in the perturbation theory of unitary and self-adjoint operators}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {37--51}, publisher = {mathdoc}, volume = {19}, number = {2}, year = {1985}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1985_19_2_a3/} }
TY - JOUR AU - V. V. Peller TI - Hankel operators in the perturbation theory of unitary and self-adjoint operators JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1985 SP - 37 EP - 51 VL - 19 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1985_19_2_a3/ LA - ru ID - FAA_1985_19_2_a3 ER -
V. V. Peller. Hankel operators in the perturbation theory of unitary and self-adjoint operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 19 (1985) no. 2, pp. 37-51. http://geodesic.mathdoc.fr/item/FAA_1985_19_2_a3/
[1] Krein M.G., “O nekotorykh novykh issledovaniyakh po teorii vozmuschenii samosopryazhennykh operatorov”, Pervaya letnyaya matematicheskaya shkola, Kiev, 1964 | Zbl
[2] Daletskii Yu.L., Krein S.G., “Integrirovanie i differentsirovanie ermitovykh operatorov i prilozhenie k teorii vozmuschenii”, Trudy seminara po funkts. analizu, 1, Voronezh, 1956, 81–106
[3] Birman M.Sh., Solomyak M.3., “Dvoinye operatornye integraly Stiltesa III. Predelnyi perekhod pod znakom integrala”, Problemy mat. fiziki, 6 (1973)
[4] Birman M.Sh., Solomyak M.3., “Zamechaniya o funktsii spektralnogo sdviga”, Zap. nauchn. sem. LOMI, 27, 1972, 33–46 | MR | Zbl
[5] Birman M.Sh., Solomyak M.3., “Dvoinye operatornye integraly Stiltesa”, Problemy mat. fiziki, 2 (1966), 33–67 | MR
[6] Birman M.Sh., Solomyak M.3., “Dvoinye operatornye integraly Stiltesa II”, Problemy mat. fiziki, 2 (1967), 26–60 | MR | Zbl
[7] Farforovskaya Yu.B., “Primer lipshitsevoi funktsii ot samosopryazhennogo operatora, dayuschei neyadernye prirascheniya pri yadernom vozmuschenii”, Zap. nauchn. sem. LOMI, 30, 1972, 146–153 | MR | Zbl
[8] Farforovskaya Yu.B., “K otsenke raznosti $f(B)-f(A)$ v klassakh $\mathfrak S_p$”, Zap. nauchn. sem. LOMI, 39, 1974, 194–195 | MR
[9] Farforovskaya Yu.B., “Otsenka normy $|f(B)-f(A)|$ dlya samosopryazhennykh operatorov $A$ i $B$”, Zap. nauchn. sem. LOMI, 56, 1976, 143–162 | MR | Zbl
[10] Widom H., “When are differentiable functions differentiable”, Linear and Complex Analysis Problem Book, Lect. Notes Math., 1043, 1984, 184–188
[11] Peller V.V., “Operatory Gankelya klassa $\mathfrak S_p$ i ikh prilozheniya (ratsionalnaya approksimatsiya, gaussovskie protsessy, problema mazhoratsii operatorov)”, Mat. sb., 113:4 (1980), 538–581 | MR | Zbl
[12] Peller V.V., Hankel operators and differentiability properties of functions of self - adjoint (unitary) operators, Preprint LOMI, E-1-84, LOMI, Leningrad, 1984 | MR
[13] Bennett G., “Schur multiliers”, Duke Math. J., 44:3 (1977), 603–639 | DOI | MR | Zbl
[14] Pich A., Operatornye idealy, Mir, M., 1982 | MR
[15] Lindenstrauss J., Pelezynski A., “Absolutely summing operators in $L^p$-spaces and their application”, Studia Math., 29:3 (1968), 275–326 | DOI | MR | Zbl
[16] Kantorovich L.V., Akilov G.P., Funkpponalnyi analiz, Nauka, M., 1977 | MR | Zbl
[17] Berg I., Lefstrem I., Interpolyatsionnye prostranstva, Mir, M., 1980 | MR
[18] Stein M., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973 | MR
[19] Peetre J., New thoughts on Besov spaces, Duke Univ. Math. Ser. 1, Durham, 1976 | MR
[20] Aleksandrov A.B., “Essays on non locally convex Hardy classes”, Lect. Notes Math., 864, 1981, 1–89 | DOI | MR | Zbl
[21] Stein I.M., Veis G., Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, Mir, M., 1974 | Zbl
[22] Rudin W., “Trigonometric series with gaps”, J. Math. Mech., 1960, no. 2, 203–228 | MR
[23] Kycuc P., Vvedenie v teoriyu $H^p$-prostranstv, Mir, M., 1984 | MR