Artículo
Boasso, E. "Regular Fredholm pairs" (2006) Journal of Operator Theory. 55(2):311-337
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Abstract:
In this work it is introduced the notion of regular Fredholm pair, i.e. a Fredholm pair whose operators are regular. The main properties of these objects are studied, and what is more, they are entirely classified. Furthermore, the index of a Fredholm pair turns out to be an extremely useful tool in the description of the aforementioned objects. Finally, regular Fredholm pairs are characterized in terms of regular Fredholm symmetrical pairs, exact chains of multiplication operators, and invertible Banach space operators. © Copyright by Theta, 2006.
Registro:
| Documento: | Artículo |
| Título: | Regular Fredholm pairs |
| Autor: | Boasso, E. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas Y Naturales, Pabellón I, (1428) Buenos Aires, Argentina |
| Palabras clave: | Fredholm pairs; Index; Regular operators |
| Año: | 2006 |
| Volumen: | 55 |
| Número: | 2 |
| Página de inicio: | 311 |
| Página de fin: | 337 |
| Título revista: | Journal of Operator Theory |
| Título revista abreviado: | J. Oper. Theory |
| ISSN: | 03794024 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v55_n2_p311_Boasso |
Referencias:
- Albrecht, E., Vasilescu, F.-H., Stability of the index of a semi-Fredholm complex of Banach spaces (1986) J. Funct. Anal., 66, pp. 141-172
- Ambrozie, C.-G., On Fredholm index in Banach spaces (1996) Integral Equations Operator Theory, 25, pp. 1-34
- Ambrozie, C.-G., The Euler characteristic is stable under compact perturbations (1996) Proc. Amer. Math. Soc., 124, pp. 2041-2050
- Eschmeier, J., (1987) Analytic Spectral Mapping Theorems for Joint Spectra, 24, pp. 167-181. , Oper. Theory Adv. Appl., Birkhäuser Verlag, Basel
- Harte, R., (1988) Invertibility and Singularity for Bounded Linear Operators, , Marcel Dekker, Inc., New York-Basel
- Harte, R., Lee, W.Y., An index formula for chains (1995) Studia Math., 116, pp. 283-294
- Müller, V., Stability of index for semi-Fredholm chains (1997) J. Operator Theory, 37, pp. 247-261
- Putinar, M., Some invariants for semi-Fredholm systems of essentially commuting operators (1982) J. Operator Theory, 8, pp. 65-90
- Vasilescu, F.-H., Stability of the index of a complex of Banach spaces (1979) J. Operator Theory, 21, pp. 247-275
- Vasilescu, F.-H., (1984) Nonlinear Objects in the Linear Analysis, 14, pp. 265-278. , Oper. Theory Adv. Appl., Birkhäuser Verlag, Basel
Citas:
---------- APA ----------
(2006) . Regular Fredholm pairs. Journal of Operator Theory, 55(2), 311-337.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v55_n2_p311_Boasso [ ]
---------- CHICAGO ----------
Boasso, E. "Regular Fredholm pairs" . Journal of Operator Theory 55, no. 2 (2006) : 311-337.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v55_n2_p311_Boasso [ ]
---------- MLA ----------
Boasso, E. "Regular Fredholm pairs" . Journal of Operator Theory, vol. 55, no. 2, 2006, pp. 311-337.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v55_n2_p311_Boasso [ ]
---------- VANCOUVER ----------
Boasso, E. Regular Fredholm pairs. J. Oper. Theory. 2006;55(2):311-337.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v55_n2_p311_Boasso [ ]
