Geodesic
About Silchenko operators semigroup
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 82-90 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider a class of operator semigroups with integrable singularity at the origin and nondense image. Our approach is based on using the linear relations as the generators of semigroup. The existence of a base generator is proved and a representation of the resolvent of the base generator is also obtained. 
@article{VMJ_2013_15_4_a10,
     author = {A. G. Chshiev},
     title = {About {Silchenko} operators semigroup},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {82--90},
     year = {2013},
     volume = {15},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a10/}
}
TY  - JOUR
AU  - A. G. Chshiev
TI  - About Silchenko operators semigroup
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2013
SP  - 82
EP  - 90
VL  - 15
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a10/
LA  - ru
ID  - VMJ_2013_15_4_a10
ER  - 
%0 Journal Article
%A A. G. Chshiev
%T About Silchenko operators semigroup
%J Vladikavkazskij matematičeskij žurnal
%D 2013
%P 82-90
%V 15
%N 4
%U http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a10/
%G ru
%F VMJ_2013_15_4_a10
A. G. Chshiev. About Silchenko operators semigroup. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 82-90. http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a10/

[1] Baskakov A. G., Chernyshov K. I., “Spektralnaya teoriya lineinykh otnoshenii i vyrozhdennye polugruppy”, Mat. sbornik, 193:11 (2002), 3–42 | DOI | MR | Zbl

[2] Baskakov A. G., “Lineinye otnosheniya kak generatory polugrupp operatorov”, Mat. zametki, 84:2 (2008), 175–192 | DOI | MR | Zbl

[3] Cross R., Multivalued linear operators, M. Dekker, N.Y., 1998, 335 pp. | MR | Zbl

[4] Baskakov A. G., “Teoriya predstavlenii banakhovykh algebr, abelevykh grupp i polugrupp v spektralnom analize lineinykh operatorov”, Funktsion. analiz, SMFN, 9, 2004, 3–151 | MR | Zbl

[5] Khille E., Funktsionalnyi analiz i polugruppy, Izd-vo inostr. lit-ry, M., 1962, 830 pp. | MR

[6] Chshiev A. G., “Teorema Gerkharta–Pryussa dlya nekotorogo klassa vyrozhdennykh polugrupp operatorov”, Mat. zametki, 94:3 (2013), 426–440 | DOI | Zbl

[7] Bichegkuev M. S., “K teorii beskonechno differentsiruemykh polugrupp operatorov”, Algebra i analiz, 22:2 (2010), 1–13 | MR | Zbl

[8] Silchenko Yu. T., “Polugruppy s neplotno zadannym proizvodyaschim operatorom”, Izv. vuzov. Matematika, 2005, no. 7, 57–62 | MR | Zbl

[9] Chshiev A. G., “Ob usloviyakh zamknutosti i usloviyakh zamykaemosti infinitezimalnykh operatorov nekotorykh klassov polugrupp operatorov”, Izv. vuzov. Matematika, 2011, no. 8, 77–85 | MR | Zbl