Spectral Theory of Linear Relations on Real Banach Spaces
Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 17-31.

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

We consider the relationship between the spectral properties of linear relations (multivalued linear operators) on real Banach spaces and their complexifications.
Keywords: linear relation (multivalued linear operator), Banach space, spectral theory of linear operators, covariant complexification functor, functional calculus.
@article{MZM_2007_81_1_a1,
     author = {A. G. Baskakov and A. S. Zagorskii},
     title = {Spectral {Theory} of {Linear} {Relations} on {Real} {Banach} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {17--31},
     publisher = {mathdoc},
     volume = {81},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a1/}
}
TY  - JOUR
AU  - A. G. Baskakov
AU  - A. S. Zagorskii
TI  - Spectral Theory of Linear Relations on Real Banach Spaces
JO  - Matematičeskie zametki
PY  - 2007
SP  - 17
EP  - 31
VL  - 81
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a1/
LA  - ru
ID  - MZM_2007_81_1_a1
ER  - 
%0 Journal Article
%A A. G. Baskakov
%A A. S. Zagorskii
%T Spectral Theory of Linear Relations on Real Banach Spaces
%J Matematičeskie zametki
%D 2007
%P 17-31
%V 81
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a1/
%G ru
%F MZM_2007_81_1_a1
A. G. Baskakov; A. S. Zagorskii. Spectral Theory of Linear Relations on Real Banach Spaces. Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 17-31. http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a1/

[1] N. Danford, Dzh. T. Shvarts, Lineinye operatory. Chast I. Obschaya teoriya, IL, M., 1962 | MR | Zbl

[2] N. Burbaki, Spektralnaya teoriya, Mir, M., 1972 | MR | Zbl

[3] E. Khille, R. Fillips, Funktsionalnyi analiz i polugruppy, IL, M., 1962 | MR | Zbl

[4] K.-J. Engel, R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Springer-Verlag, New York, 2000 | MR | Zbl

[5] U. Rudin, Funktsionalnyi analiz, Mir, M., 1975 | MR | Zbl

[6] Funktsionalnyi analiz. Spravochnaya matematicheskaya biblioteka, ed. S. G. Krein, Nauka, M., 1972 | MR | Zbl

[7] R. Cross, Multivalued Linear Operators, Marcel Dekker, New York, 1998 | MR | Zbl

[8] A. Favini, A. Yagi, “Degenerate differential equations in Banach spaces”, Pure and Applied Mathematics, A Series of Monographs and Textbooks, Marcel Dekker, New York, 1999 | MR | Zbl

[9] A. G. Baskakov, K. I. Chernyshov, “Spektralnyi analiz lineinykh otnoshenii i vyrozhdennye polugruppy operatorov”, Matem. sb., 193:11 (2002), 3–42 | MR | Zbl

[10] A. G. Baskakov, Teoriya predstavlenii banakhovykh algebr, grupp i polugrupp v spektralnom analize lineinykh operatorov, Sovremennaya matematika. Fundamentalnye napravleniya, 9, MAI, M., 2004 | MR | Zbl

[11] D. Khenri, Geometricheskaya teoriya polulineinykh parabolicheskikh uravnenii, Mir, M., 1985 | MR | Zbl