The spectral mapping theorem for one-parameter groups of positive operators on \(C_ 0(X)\)

DOI10.1007/BF02573461zbMath0536.47032MaRDI QIDQ791856

Günther Greiner, Wolfgang Arendt

Publication date: 1984

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134727

zbMATH Keywords

spectral mapping theorem for one-parameter groups of positive operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03)

Related Items

Hyperbolic evolution groups and dichotomic evolution families, Evolution semigroups, translation algebras, and exponential dichotomy of cocycles, Weak spectral mapping theorems for \(C_0\)-groups associated to transport equations in slab geometry, Semigroups of operators, cosine operator functions, and linear differential equations, Tauberian Theorems and Stability of One-Parameter Semigroups

Cites Work

• Der Generator stark stetiger Verbandshalbgruppen auf \(C(X)\) und dessen Spektrum
• Kato's equality and spectral decompositon for positive \(C_ 0\)-groups
• Über das Spektrum positiver Generatoren
• Zur Perron-Frobenius-Theorie stark stetiger Halbgruppen
• A SPECTRAL DECOMPOSITION OF STRONGLY CONTINUOUS GROUPS OF POSITIVE OPERATORS
• Extensions and Liftings of Positive Linear Mappings on Banach Lattices
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