A Banach algebra with its applications over paths of bounded variation

@article{Cho2018ABA,
  title={A Banach algebra with its applications over paths of bounded variation},
  author={Dong Hyun Cho},
  journal={Advances in Operator Theory},
  year={2018}
}
  • D. Cho
  • Published 1 September 2018
  • Mathematics
  • Advances in Operator Theory
Let C[0, T ] denote the space of continuous real-valued functions on [0, T ]. In this paper we introduce two Banach algebras: one of them is defined on C[0, T ] and the other is a space of equivalence classes of measures over paths of bounded variation on [0, T ]. We establish an isometric isomorphism between them and evaluate analytic Feynman integrals of the functions in the Banach algebras, which play significant roles in the Feynman integration theories and quantum mechanics. 
1 Citations

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