HYPERGROUPS OF INTEGRAL OPERATORS IN CONNECTIONS WITH TRANSFORMATION STRUCTURES

Authors

  • Š. Hošková University of Defence
  • J. Chvalina University of Defence
  • P. Račková University of Defence

Abstract

This contribution is a continuation of the paper [4] (here not defined concepts can be found there). It uses the results from it and the fact that the basic group of integral operators contains an invariant subgroup, which allows us to obtain a closed, invertible, reflexive and normal subhypergroup of the target transposition hypergroup. We will construct a discrete transformation hypergroup - in fact an action of hypergroup of integral operators on the space of continuous functions, which are created by Fredholm integral equations of the second kind, as a phase set.

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Published

04-03-2022

How to Cite

Hošková, Š., Chvalina, J., & Račková, P. (2022). HYPERGROUPS OF INTEGRAL OPERATORS IN CONNECTIONS WITH TRANSFORMATION STRUCTURES. Advances in Military Technology, 1(2), 105–117. Retrieved from https://aimt.cz/index.php/aimt/article/view/1711

Issue

Section

Research Paper