Bounded Linear Operators on Function Spaces and Sequences Spaces


Authors : Muhammad Zakir

Volume/Issue : Volume 8 - 2023, Issue 2 - February

Scribd : https://bit.ly/42lsHMm

DOI : https://doi.org/10.5281/zenodo.7730986

Abstract : This paper will analyse the existence of sequence space and function space.It will be proved that these two spaces form a normed space in general and an inner product space in particular.Similarly, the space of linear operators will be introduced. Next, we will define the finite operator and prove its properties and give some examples related to the problem

Keywords : Linear operators, bounded operators, sequence spaces, integrable function spaces

This paper will analyse the existence of sequence space and function space.It will be proved that these two spaces form a normed space in general and an inner product space in particular.Similarly, the space of linear operators will be introduced. Next, we will define the finite operator and prove its properties and give some examples related to the problem

Keywords : Linear operators, bounded operators, sequence spaces, integrable function spaces

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