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Peng Cao (2013)
Studia Mathematica
A scattered element of a Banach algebra is an element with at most countable spectrum. The set of all scattered elements is denoted by (). The scattered radical is the largest ideal consisting of scattered elements. We characterize in several ways central elements of modulo the scattered radical. As a consequence, it is shown that the following conditions are equivalent: (i) () + () ⊂ (); (ii) ()() ⊂ (); (iii) .
Carl L. DeVito, Suchanek Ana M. (1986)
Mathematische Zeitschrift
Mikael Lindström (1988)
Manuscripta mathematica
Cruz-Báez, D.I., González-Rodríguez, J.M. (2002)
Journal of Applied Mathematics
Pavol Quittner (1983)
Commentationes Mathematicae Universitatis Carolinae
Albrecht Pietsch (1974)
Studia Mathematica
Pilar Cembranos (1981)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
J. Arazy, J. Lindenstrauss (1975)
Compositio Mathematica
Stefan Geiss (1990)
Monatshefte für Mathematik
Kamil John (1973)
Czechoslovak Mathematical Journal
N.J. Kalton (1974)
Mathematische Annalen
Edmunds D. E., Haroske D. (1999)
Cédric Delattre, Denis Dochain, Joseph Winkin (2003)
International Journal of Applied Mathematics and Computer Science
The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L^2(a,b) and the infinitesimal generator of a C_0-semigroup of bounded linear operators.
Richard Becker (1989)
Mathematische Annalen
Michel Hilsum (1978)
Annales de l'institut Fourier
Soit un opérateur compact dans une algèbre de Von Neumann. On montre que le sous-espace sup ker est relativement fini.
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