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Superanalysis pp 293-311 | Cite as

Noncommutative Analysis

  • Andrei Khrennikov
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 470)

Abstract

When the main text of the book was ready, I got some ideas that allowed me to construct a noncommutative generalization of the supercommutative analysis exposed in the book. Here I again use the scheme which I used when passing from the K-linear ordinary mathematical analysis to Λ-linear superanalysis. In order to construct analysis over an arbitrary noncommutative algebra A (or on an A-module), it is necessary to define, “in a natural way,” the concept of A-linearity which will be used in the noncommutative differential calculus.

Keywords

Banach Space Tensor Product Banach Algebra Differential Calculus Commutative Banach Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Andrei Khrennikov
    • 1
    • 2
  1. 1.Department of Mathematics, Statistics and Computer SciencesUniversity of VäxjöVäxjöSweden
  2. 2.Department of MathematicsMoscow State University of Electronic EngineeringZelenogradRussia

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