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This article is cited in 6 scientific papers (total in 6 papers)
An Eigenvector Existence Theorem in Idempotent Analysis
G. B. Shpiz Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
Abstract:
In this paper, we prove an eigenvector existence theorem for linear operators on abstract idempotent spaces in the framework of the algebraic approach. Earlier, an algebraic version of a similar statement was known only for operators in free finite-dimensional semimodules. The corresponding result for compact operators in semimodules of real continuous functions is known in the case of topological semimodules.
Keywords:
abstract idempotent space, idempotent semimodule, idempotent semiring, idempotent semigroup, ordered set, homomorphism, ideompotent semiring, linear functional.
Received: 22.11.2006 Revised: 09.02.2007
Citation:
G. B. Shpiz, “An Eigenvector Existence Theorem in Idempotent Analysis”, Mat. Zametki, 82:3 (2007), 459–468; Math. Notes, 82:3 (2007), 410–417
Linking options:
https://www.mathnet.ru/eng/mzm3993https://doi.org/10.4213/mzm3993 https://www.mathnet.ru/eng/mzm/v82/i3/p459
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Abstract page: | 564 | Full-text PDF : | 229 | References: | 76 | First page: | 2 |
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