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Idempotent functional analysis: an algebraic approach
[article]
2001
arXiv
pre-print
In this paper we consider Idempotent Functional Analysis, an 'abstract' version of Idempotent Analysis developed by V. P. Maslov and his collaborators. We give a review of the basic ideas of Idempotent Analysis. The correspondence between concepts and theorems of the traditional Functional Analysis and its idempotent version is discussed; this correspondence is similar to N. Bohr's correspondence principle in quantum theory. We present an algebraical approach to Idempotent Functional Analysis.
arXiv:math/0009128v2
fatcat:6geob263bfcvtobvyv73jox75m