On Sequentially Defined Function Spaces and Bounded Linear Functionals

Authors

  • Supama Department of Mathematics, Gadjah Mada University, Yogyakarta, 55281, Indonesia

DOI:

https://doi.org/10.32734/jormtt.v3i1.4882

Keywords:

Holder's Inequality, Linear Functional, Minkowsky's Inequality, Sequentially Defined

Abstract

In this paper, we construct a sequentially defined function space $L_{p,q}(\Omega)$ and observe its topological properties. Further, we formulate necessary and sufficient conditions for bounded linear functionals on the space.

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Published

2021-03-05

How to Cite

[1]
Supama, “On Sequentially Defined Function Spaces and Bounded Linear Functionals”, J. of Research in Math. Trends and Tech., vol. 3, no. 1, pp. 25-33, Mar. 2021.