A Banach Algebra Similar to Cameron-Storvick’s One with Its Equivalent Spaces
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Let C[0,T] denote an analogue of a generalized Wiener space, that is, the space of continuous, real-valued functions on the interval [0,T].
In this paper, we introduce a Banach algebra on C[0,T] which generalizes Cameron-Storvick’s one, the space of generalized Fourier-Stieltjes transforms of the C-valued, and finite Borel measures on L2[0,T].
We also investigate properties of the Banach algebra on C[0,T] and equivalence between the Banach algebra and the Fresnel class which plays a significant role in Feynman integration theories and quantum mechanics.
American Psychological Association (APA)
Cho, Dong Hyun. 2018. A Banach Algebra Similar to Cameron-Storvick’s One with Its Equivalent Spaces. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186726
Modern Language Association (MLA)
Cho, Dong Hyun. A Banach Algebra Similar to Cameron-Storvick’s One with Its Equivalent Spaces. Journal of Function Spaces No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1186726
American Medical Association (AMA)
Cho, Dong Hyun. A Banach Algebra Similar to Cameron-Storvick’s One with Its Equivalent Spaces. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186726