-local unconditional structure of Banach spaces
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Y. Gordon (1980)
Compositio Mathematica
Caliceti, Emanuela, Cannata, Francesco, Graffi, Sandro (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
C. Pérez-García (1990)
Extracta Mathematicae
M.Z. Nashed, A. Boumenir (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Gilbert Crombez (1992)
Czechoslovak Mathematical Journal
P. Alegría (1992)
Collectanea Mathematica
J.-P. Antoine, M. Vause (1981)
Annales de l'I.H.P. Physique théorique
Mosić, Dijana, Djordjević, Dragan S. (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
W. Mlak (1972)
Annales Polonici Mathematici
Rainer Hempel (1984)
Manuscripta mathematica
Krejčí, Pavel (1986)
Equadiff 6
Ivan Straškraba, Otto Vejvoda (1973)
Czechoslovak Mathematical Journal
Ivo Marek (1978)
Acta Universitatis Carolinae. Mathematica et Physica
Adam Kanigowski, Wojciech Kryszewski (2012)
Open Mathematics
We study several aspects of a generalized Perron-Frobenius and Krein-Rutman theorems concerning spectral properties of a (possibly unbounded) linear operator on a cone in a Banach space. The operator is subject to the so-called tangency or weak range assumptions implying the resolvent invariance of the cone. The further assumptions rely on relations between the spectral and essential spectral bounds of the operator. In general we do not assume that the cone induces the Banach lattice structure into...
Peter G. Cazassa, Ole Christensen (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Rudi Brits (2011)
Studia Mathematica
We extend an example of B. Aupetit, which illustrates spectral discontinuity for operators on an infinite-dimensional separable Hilbert space, to a general spectral discontinuity result in abstract Banach algebras. This can then be used to show that given any Banach algebra, Y, one may adjoin to Y a non-commutative inessential ideal, I, so that in the resulting algebra, A, the following holds: To each x ∈ Y whose spectrum separates the plane there corresponds a perturbation of x, of the form z =...
Lutz Weis (1981)
Mathematische Zeitschrift
Gunter Lumer (1973)
Annales de l'institut Fourier
On obtient un théorème général concernant la perturbation multiplicative par un opérateur (linéaire borné, mais pas forcément d’inverse borné), du générateur d’un semi-groupe fortement continu sur un espace de Banach. On en déduit un résultat intimement lié au changement de temps dans les processus de Markov, qui étend un théorème de Dorroh (et résout par l’affirmative la seule situation qui restait en doute dans le contexte du théorème de Dorroh cité). Comme exemple d’autres possibilités d’application,...
H. Maagli, M. Selmi (1990)
Mathematische Zeitschrift
Gleason, Jim (2001)
Georgian Mathematical Journal
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