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Scattered elements of Banach algebras

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 $_{s c} ()$ 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) $[(),] \subset_{s c} ()$ .

Schauder's Theorem and Riesz Theory for Compact-like Operators.

Carl L. DeVito, Suchanek Ana M. (1986)

Mathematische Zeitschrift

Schwartz spaces and compact holomorphic mappings.

Mikael Lindström (1988)

Manuscripta mathematica

Semigroup theory applied to options.

Cruz-Báez, D.I., González-Rodríguez, J.M. (2002)

Journal of Applied Mathematics

Singular sets and number of solutions of nonlinear boundary value problems

Pavol Quittner (1983)

Commentationes Mathematicae Universitatis Carolinae

s-Numbers of operators in Banach spaces

Albrecht Pietsch (1974)

Studia Mathematica

Sobre los espacios de Banach que contienen a l1 como complementado.

Pilar Cembranos (1981)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Some linear topological properties of the spaces $C_{p}$ of operators on Hilbert space

J. Arazy, J. Lindenstrauss (1975)

Compositio Mathematica

Some Relations Between s-Numbers of Operators on Banach Spaces.

Stefan Geiss (1990)

Monatshefte für Mathematik

Some remarks on compact maps in Banach spaces

Kamil John (1973)

Czechoslovak Mathematical Journal

Spaces of Compact Operators.

N.J. Kalton (1974)

Mathematische Annalen

Spaces of Lipschitz type, embeddings and entropy numbers [Book]

Edmunds D. E., Haroske D. (1999)

Sturm-Liouville systems are Riesz-spectral systems

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.

Sur les cones faiblement complets, contenus dans un espace de Banach.

Richard Becker (1989)

Mathematische Annalen

Sur les sous-espaces spectraux d'un opérateur compact relativement à une algèbre de von Neumann

Michel Hilsum (1978)

Annales de l'institut Fourier

Soit $T$ un opérateur compact dans une algèbre de Von Neumann. On montre que le sous-espace sup ker $(1 - T)^{n}$ est relativement fini.

Currently displaying 1 – 15 of 15

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