On Banach Space Valued Function Space of Bounded Type Defined by Orlicz Function

Authors

  • Jhavi Lal Ghimire Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal
  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal

DOI:

https://doi.org/10.3126/nmsr.v42i1.80574

Keywords:

Orlicz function, Orlicz space, Orlicz sequence space, Normal space.

Abstract

The present work introduces and investigates a new class of Banach space-valued functions of bounded type, constructed using an Orlicz function. It serves as a natural extension of the classical space of bounded complex sequences commonly studied in functional analysis. In addition, we examine the linear and topological properties of this space under a suitable natural norm. The role of the Δ2-condition in ensuring the equality of associated classes of Banach space-valued functions of bounded type, is highlighted through illustrative examples

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Published

2025-06-27

How to Cite

Ghimire, J. L., & Pahari, N. P. (2025). On Banach Space Valued Function Space of Bounded Type Defined by Orlicz Function. The Nepali Mathematical Sciences Report, 42(1), 1–12. https://doi.org/10.3126/nmsr.v42i1.80574

Issue

Vol. 42 No. 1 (2025)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report