Vector Valued Multipliers of McShane Integrable Functions

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Authors

  • Savita Bhatnagar
     Department of Mathematics, Panjab University, Chandigarh ,IN

DOI:

https://doi.org/10.18311/jims/2022/29294

Keywords:

McShane integrable, Banach algebra, multiplier, Radon Nikodym property

Abstract

We study the algebra of vector valued multipliers of Banach algebra valued McShane integrable functions. We prove that if X is a commutative Banach algebra, with identity e of norm one, then functions associated with measures of strong bounded variation and the set {L?([a, b],?) e} are vector valued multipliers of McShane integrable functions. We find some necessary and another set of sufficient conditions for a functiong to define a multiplier. In case X satisfies Radon Nikodym property (weak Radon Nikodym property), we study multiplier operators.

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Published

2022-01-27

How to Cite

Bhatnagar, S. (2022). Vector Valued Multipliers of McShane Integrable Functions. The Journal of the Indian Mathematical Society, 89(1-2), 08–18. https://doi.org/10.18311/jims/2022/29294

Issue

Volume 89, Issue 1-2, January-June 2022

Section

Articles

License

Copyright (c) 2022 Savita Bhatnagar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2022-01-10
Accepted 2023-01-30
Published 2022-01-27

 

References

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