Nuclear semimodules and Kernel theorems in idempotent analysis: An algebraic approach

Doklady Mathematics

Volumn 66, Issue 2, 2002, Pages 197-199

  Litvinov, G L ^a   Shpiz, G B ^a  

^a Sophus Lie Center   (Russian Federation)

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[No Author keywords available]

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EID: 0036763273     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Litvinov, G.L., Maslov, V.P., and Shpiz, G.B., Dokl. Akad. Nauk, 1998, vol. 363, no. 3, pp. 298-300 [Dokl. Math. (Engl. transl.), vol. 58, no. 3, pp. 389-391].
2. Litvinov, G.L., Maslov, V.P., and Shpiz, G.B., Mat. Zametki, 1999, vol. 65, no. 4, pp. 479-489 [Math. Notes (Engl. transl.), vol. 65, no. 4, pp. 572-581].
3. Litvinov, G.L., Maslov, V.P., and Shpiz, G.B., Mat. Zametki, 2001, vol. 69, no. 5, pp. 696-729 [Math. Notes (Engl. transl.), vol. 69, no. 5, pp. 758-797].
4. Grothendieck, A., Produits Tensoriels Topologiqueset Espaces Nucléairs, Mem. Am. Math. Soc., Providence, R.I., 1955, vol. 16.
5. Schaefer, H.H., Topological Vector Spaces, New York: Macmillan, 1966. Translated under the title Topologicheskie vektornye prostranstva, Moscow: Mir, 1971.
6. Schwartz, L., Proc. Int. Congr. Math., 1950, vol. 1, pp. 220-230.
7. Maslov, V.P., Méthodes opératorielles (Operator Methods), Moscow: Mir, 1987.
8. Maslov, V.P. and Kolokol'tsov, V.N., Idempotentnyi analiz i ego primenenie v optimal'nom upravlenii (Idempotent Analysis and Its Application in Optimal Control), Moscow: Nauka, 1994.
9. Idempotent Analysis, Maslov, V.P. and Samborskii, S.N., Eds., Adv. Sov. Math., Providence, R.I.: Am. Math. Soc., 1992, vol. 13.
10. Shubin, M.A., Algebraicheskie zamechaniya ob idempotentnykh polukol'tsakh i teorema o yadre v prostranstvakh ogranichennykh funktsii (Algebraic Remarks on Idempotent Semirings and a Kernel Theorem in Spaces of Bounded Functions), Moscow: Inst. Novykh Tekhnologii, 1990.
11. Gunawardena, J., in: Idempotency, Gunawardena, J., Ed., Cambridge: Cambridge Univ. Press, 1998, pp. 1-49.