Artículo

Abstract:

Given X a complex Banach space, L a complex nilpotent finite dimensional Lie algebra, and ρ: L → L(X), a representation of L in X such that ρ(l) ∈ K(X) for all l → L, the Taylor, the Słodkowski, the Fredholm, the split and the Fredholm split joint spectra of the representation ρ are computed.

Registro:

Documento: Artículo
Título:Joint spectra of representations of Lie algebras by compact operators
Autor:Boasso, E.
Filiación:Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Pabellón I, (1428) Buenos Aires, Argentina
Año:2004
Volumen:46
Número:2
Página de inicio:355
Página de fin:362
DOI: http://dx.doi.org/10.1017/S0017089504001831
Título revista:Glasgow Mathematical Journal
Título revista abreviado:Glasgow. Math. J.
ISSN:00170895
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00170895_v46_n2_p355_Boasso.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00170895_v46_n2_p355_Boasso

Referencias:

  • Beltita, D., Spectrum for a solvable Lie algebra of operators (1999) Studia. Math., 135, pp. 163-178
  • Boasso, E., Dual properties and joint spectra for solvable Lie algebras of operators (1995) J. Operator Theory, 33, pp. 105-116
  • Boasso, E., Joint spectra and nilpotent Lie algebras of linear transformations (1997) Linear Algebra Appl., 263, pp. 49-62
  • Boasso, E., Joint spectra of the tensor product representation of the direct sum of two Lie algebras (2003) Dissertationes Math., 416
  • Boasso, E., Larotonda, A., A spectral theory for solvable Lie algebras of operators (1993) Pacific J. Math., 158, pp. 15-22
  • Bourbaki, N., (1960) Éléments de Mathématique, Groupes et Algèbres de Lie, , Chapitre I, Algèbres de Lie, Fasc. XXVI (Hermann, Paris)
  • Eschmeier, J., Analytic spectral mapping theorems for joint spectra (1987) Oper. Theory Adv. Appl., 24, pp. 167-181. , Operators in indefinite metric spaces, scattering theory and other topics (Bucharest, 1985)
  • Fainshtein, A.S., Joint essential spectrum of a family of linear operators (1980) Funct. Anal. Appl., 14, pp. 152-153
  • Fainshtein, A.S., Taylor joint spectrum for families of operators generating nilpotent Lie algebras (1993) J. Operator Theory, 29, pp. 3-27
  • Müller, V., The Słodkowski spectra and higher shilov boundaries (1993) Studia Math., 105, pp. 69-75
  • Ott, C., A note on a paper of E. Boasso and A. Larotonda (1996) Pacific J. Math., 173, pp. 173-179
  • Ott, C., (1997) Gemeinsame Spektren Auflösbarer Operator-Liealgebren, , http://analysis.math.uni-kiel.de/wrobel/, Dissertation, Kiel
  • Słodkowski, Z., An infinite family of joint spectra (1973) Studia Math., 61, pp. 239-255
  • Taylor, J.L., A joint spectrum for several commuting operators (1970) J. Functional Analysis, 6, pp. 172-191

Citas:

---------- APA ----------
(2004) . Joint spectra of representations of Lie algebras by compact operators. Glasgow Mathematical Journal, 46(2), 355-362.
http://dx.doi.org/10.1017/S0017089504001831
---------- CHICAGO ----------
Boasso, E. "Joint spectra of representations of Lie algebras by compact operators" . Glasgow Mathematical Journal 46, no. 2 (2004) : 355-362.
http://dx.doi.org/10.1017/S0017089504001831
---------- MLA ----------
Boasso, E. "Joint spectra of representations of Lie algebras by compact operators" . Glasgow Mathematical Journal, vol. 46, no. 2, 2004, pp. 355-362.
http://dx.doi.org/10.1017/S0017089504001831
---------- VANCOUVER ----------
Boasso, E. Joint spectra of representations of Lie algebras by compact operators. Glasgow. Math. J. 2004;46(2):355-362.
http://dx.doi.org/10.1017/S0017089504001831