Voir la notice de l'article provenant de la source Math-Net.Ru
@article{PFMT_2016_4_a10, author = {A. R. Mirotin and A. A. Atvinovskii}, title = {On some properties of a functional calculus of closed operators on {Banach} space}, journal = {Problemy fiziki, matematiki i tehniki}, pages = {63--67}, publisher = {mathdoc}, number = {4}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/PFMT_2016_4_a10/} }
TY - JOUR AU - A. R. Mirotin AU - A. A. Atvinovskii TI - On some properties of a functional calculus of closed operators on Banach space JO - Problemy fiziki, matematiki i tehniki PY - 2016 SP - 63 EP - 67 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PFMT_2016_4_a10/ LA - ru ID - PFMT_2016_4_a10 ER -
A. R. Mirotin; A. A. Atvinovskii. On some properties of a functional calculus of closed operators on Banach space. Problemy fiziki, matematiki i tehniki, no. 4 (2016), pp. 63-67. http://geodesic.mathdoc.fr/item/PFMT_2016_4_a10/
[1] A. A. Atvinovskii, A. R. Mirotin, “Ob odnom funktsionalnom ischislenii zamknutykh operatorov v banakhovom prostranstve”, Izvestiya vuzov. Matematika, 2013, no. 10, 3–15
[2] A. A. Atvinovskii, A. R. Mirotin, “Obraschenie odnogo klassa operatorov v banakhovom prostranstve i nekotorye ego primeneniya”, Problemy fiziki, matematiki i tekhniki, 2013, no. 3(16), 55–60
[3] A. R. Mirotin, A. A. Atvinovskii, “Obraschenie lineinoi kombinatsii znachenii rezolventy zamknutogo operatora”, Problemy fiziki, matematiki i tekhniki, 2014, no. 3(20), 77–79
[4] A. A. Atvinovskii, A. R. Mirotin, “Ob odnom funktsionalnom ischislenii zamknutykh operatorov v banakhovom prostranstve. II”, Izvestiya vuzov. Matematika, 2015, no. 5, 3–16
[5] A. B. Aleksandrov, V. V. Peller, Operatorno lipshitsevy funktsii, 2016, arXiv: 1602.07994v1
[6] V. V. Peller, The behavior of functions of operators under perturbations, April 10, 2009, arXiv: 0904.1761 | MR
[7] E. Kissin, V. S. Shulman, “Classes of operator-smooth functions. I. Operator Lipschitz functions”, Proc. Edinburgh Math. Soc., 48 (2005), 151–173 | DOI | MR | Zbl
[8] E. Kissin, D. Potapov, F. Sukochev, V. S. Shulman, “Lipschitz functions, Schatten ideals and unbounded derivations”, Functional Analysis and its Applications, 45:2 (2011), 93–96 | DOI | MR | Zbl
[9] M. G. Krein, A. A. Nudelman, Problema momentov Markova i ekstremalnye zadachi, Nauka, M., 1973, 552 pp. | MR
[10] T. Kato, Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972, 740 pp.
[11] A. R. Mirotin, “O nekotorykh svoistvakh mnogomernogo funktsionalnogo ischisleniya Bokhnera–Fillipsa”, Sibirskii matem. zh., 52:6 (2011), 1300–1312