Geodesic
Holomorphic Functions of a Basis of a Nilpotent Lie Algebra
Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 82-84.

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

@article{FAA_2000_34_4_a8,
     author = {A. A. Dosiev},
     title = {Holomorphic {Functions} of a {Basis} of a {Nilpotent} {Lie} {Algebra}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {82--84},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a8/}
}
TY  - JOUR
AU  - A. A. Dosiev
TI  - Holomorphic Functions of a Basis of a Nilpotent Lie Algebra
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2000
SP  - 82
EP  - 84
VL  - 34
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a8/
LA  - ru
ID  - FAA_2000_34_4_a8
ER  - 
%0 Journal Article
%A A. A. Dosiev
%T Holomorphic Functions of a Basis of a Nilpotent Lie Algebra
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2000
%P 82-84
%V 34
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a8/
%G ru
%F FAA_2000_34_4_a8
A. A. Dosiev. Holomorphic Functions of a Basis of a Nilpotent Lie Algebra. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 82-84. http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a8/

[1] Taylor J., “A general framework for a multi-operator functional calculus”, Adv. Math., 9 (1972), 183–252 | DOI | MR | Zbl

[2] Slodkowski Z., “An infinite family of joint spectra”, Studia Math., 61 (1977), 239–255 | DOI | MR | Zbl

[3] Rota G.-C., Strang W. G., “A note on the joint spectral radius”, Indag. Math., 22 (1960), 379–381 | DOI | MR

[4] Grauert G., Remmert R., Analiticheskie lokalnye algebry, Nauka, M., 1988 | MR | Zbl

[5] Khelemskii A. Ya., Banakhovy i polinormirovannye algebry, Nauka, M., 1989 | MR

[6] Turovskii Yu. V., “Spektralnye svoistva elementov normirovannykh algebr i invariantnye podprostranstva”, Funkts. analiz i ego pril., 18:2 (1984), 77–78 | MR | Zbl

[7] Vaksman L. L., Gurarii D. L., “Ob algebrakh, soderzhaschikh kompaktnyi operator”, Funkts. analiz i ego pril., 8:4 (1974), 81–82 | MR | Zbl

[8] Fainstein A. S., J. Operator Theory, 29 (1993), 3–27 | MR

[9] Ott C., “A note on a paper of E. Boasso and A. Larotonda: “A spectral theory for solvable Lie algebras of operators””, Pacif. J. Math., 173 (1996), 173–179 | DOI | MR | Zbl