Superanalysis pp 293-311 | Cite as

Noncommutative Analysis

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


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.


Banach Space Tensor Product Banach Algebra Differential Calculus Commutative Banach Algebra 
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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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