An eigenvector existence theorem in idempotent analysis

DOI10.1134/S0001434607090131zbMath1159.46046OpenAlexW2085254514MaRDI QIDQ942062

G. B. Shpiz

Publication date: 3 September 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607090131

zbMATH Keywords

idempotent semimoduleabstract idempotent space

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Other (nonclassical) types of functional analysis (46S99) Other (nonclassical) types of operator theory (47S99)

Related Items (4)

On the Bonsall cone spectral radius and the approximate point spectrum ⋮ On common eigenvectors for semigroups of matrices in tropical and traditional linear algebra ⋮ Lower spectral radius and spectral mapping theorem for suprema preserving mappings ⋮ On the spectrum in max algebra

Cites Work

• An eigenvector theorem in idempotent spaces.
• Tensor products of idempotent semimodules. An algebraic approach
• Linear functionals on idempotent spaces. An algebraic approach
• Solution of algebraic equations in idempotent semifields
• Idempotent functional analysis: An algebraic approach
• Unnamed Item

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